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534430520421552 = 24334638387318581
BaseRepresentation
bin111100110000011111100110…
…1010100111010110010110000
32121002021001120212002112101000
41321200333031110322302300
51030022102201211442202
65132345554113442000
7220366221334640136
oct17140771524726260
92532231525075330
10534430520421552
11145316790226277
124bb3426bb70300
1319c28774387121
1495d880a503756
1541bbb6e70391c
hex1e60fcd53acb0

534430520421552 has 160 divisors (see below), whose sum is σ = 1537514859893760. Its totient is φ = 177736995152640.

The previous prime is 534430520421521. The next prime is 534430520421587. The reversal of 534430520421552 is 255124025034435.

534430520421552 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 3 + 0 + 52 + 0 + 42 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 534430520421498 and 534430520421507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1677374902 + ... + 1677693482.

It is an arithmetic number, because the mean of its divisors is an integer number (9609467874336).

Almost surely, 2534430520421552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534430520421552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768757429946880).

534430520421552 is an abundant number, since it is smaller than the sum of its proper divisors (1003084339472208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

534430520421552 is a wasteful number, since it uses less digits than its factorization.

534430520421552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327448 (or 327436 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 534430520421552 its reverse (255124025034435), we get a palindrome (789554545455987).

The spelling of 534430520421552 in words is "five hundred thirty-four trillion, four hundred thirty billion, five hundred twenty million, four hundred twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 463 926 1389 1852 2778 3704 4167 5556 7408 8334 8387 11112 12501 16668 16774 22224 25002 25161 33336 33548 50004 50322 66672 67096 75483 100008 100644 134192 150966 200016 201288 226449 301932 318581 402576 452898 603864 637162 905796 955743 1207728 1274324 1811592 1911486 2548648 2867229 3623184 3822972 3883181 5097296 5734458 7645944 7766362 8601687 11468916 11649543 15291888 15532724 17203374 22937832 23299086 31065448 34406748 34948629 45875664 46598172 62130896 68813496 69897258 93196344 104845887 137626992 139794516 147503003 186392688 209691774 279589032 295006006 419383548 442509009 559178064 590012012 838767096 885018018 1180024024 1327527027 1677534192 1770036036 2360048048 2655054054 2671938847 3540072072 3982581081 5310108108 5343877694 7080144144 7965162162 8015816541 10620216216 10687755388 15930324324 16031633082 21240432432 21375510776 24047449623 31860648648 32063266164 42751021552 48094899246 63721297296 64126532328 72142348869 96189798492 128253064656 144284697738 192379596984 288569395476 384759193968 577138790952 1154277581904 1237107686161 2474215372322 3711323058483 4948430744644 7422646116966 9896861489288 11133969175449 14845292233932 19793722978576 22267938350898 29690584467864 33401907526347 44535876701796 59381168935728 66803815052694 89071753403592 133607630105388 178143506807184 267215260210776 534430520421552