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355442244552 = 2333107130111821
BaseRepresentation
bin1010010110000100000…
…00100011101111001000
31020222110101021212102000
411023002000203233020
521310421203311202
6431142104511000
734452122141313
oct5130200435710
91228411255360
10355442244552
1112781897621a
1258a78a7b460
132769723cb85
14132bc57397a
1593a4c1591c
hex52c2023bc8

355442244552 has 128 divisors (see below), whose sum is σ = 997417411200. Its totient is φ = 117273312000.

The previous prime is 355442244551. The next prime is 355442244607. The reversal of 355442244552 is 255442244553.

355442244552 is a `hidden beast` number, since 3 + 5 + 54 + 4 + 2 + 2 + 44 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 355442244498 and 355442244507.

It is not an unprimeable number, because it can be changed into a prime (355442244551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30062802 + ... + 30074622.

It is an arithmetic number, because the mean of its divisors is an integer number (7792323525).

Almost surely, 2355442244552 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 355442244552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498708705600).

355442244552 is an abundant number, since it is smaller than the sum of its proper divisors (641975166648).

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

355442244552 is a wasteful number, since it uses less digits than its factorization.

355442244552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13244 (or 13234 counting only the distinct ones).

The product of its digits is 3840000, while the sum is 45.

Subtracting from 355442244552 its reverse (255442244553), we obtain a palindrome (99999999999).

The spelling of 355442244552 in words is "three hundred fifty-five billion, four hundred forty-two million, two hundred forty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1301 1926 2568 2602 2889 3852 3903 5204 5778 7704 7806 10408 11556 11709 11821 15612 23112 23418 23642 31224 35127 35463 46836 47284 70254 70926 93672 94568 106389 139207 140508 141852 212778 278414 281016 283704 319167 417621 425556 556828 638334 835242 851112 1113656 1252863 1264847 1276668 1670484 2505726 2529694 2553336 3340968 3758589 3794541 5011452 5059388 7517178 7589082 10022904 10118776 11383623 15034356 15178164 15379121 22767246 30068712 30356328 30758242 34150869 45534492 46137363 61516484 68301738 91068984 92274726 123032968 136603476 138412089 184549452 273206952 276824178 369098904 415236267 553648356 830472534 1107296712 1645565947 1660945068 3291131894 3321890136 4936697841 6582263788 9873395682 13164527576 14810093523 19746791364 29620187046 39493582728 44430280569 59240374092 88860561138 118480748184 177721122276 355442244552