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5310530041032 = 2334411143717477
BaseRepresentation
bin100110101000111010001…
…0000011011010011001000
3200210200101222011122220000
41031101310100123103020
51144001431142303112
615143342425003000
71055446612362546
oct115216420332310
920720358148800
105310530041032
111768201843507
12719271923460
132c6a1c652c88
141450611c2d96
159321458c7dc
hex4d47441b4c8

5310530041032 has 160 divisors (see below), whose sum is σ = 15239395737720. Its totient is φ = 1726751831040.

The previous prime is 5310530041027. The next prime is 5310530041051. The reversal of 5310530041032 is 2301400350135.

5310530041032 is a `hidden beast` number, since 5 + 310 + 5 + 300 + 4 + 10 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1421927462916 + 3888602578116 = 1192446^2 + 1971954^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5310530040987 and 5310530041005.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 303849478 + ... + 303866954.

Almost surely, 25310530041032 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 5310530041032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619697868860).

5310530041032 is an abundant number, since it is smaller than the sum of its proper divisors (9928865696688).

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

5310530041032 is a wasteful number, since it uses less digits than its factorization.

5310530041032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28973 (or 28960 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 5310530041032 its reverse (2301400350135), we get a palindrome (7611930391167).

The spelling of 5310530041032 in words is "five trillion, three hundred ten billion, five hundred thirty million, forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4428 6642 8856 11437 13284 17477 22874 26568 34311 34954 45748 52431 68622 69908 91496 102933 104862 137244 139816 157293 205866 209724 274488 308799 314586 411732 419448 468917 471879 617598 629172 716557 823464 926397 937834 943758 1235196 1258344 1406751 1415637 1433114 1852794 1875668 1887516 2149671 2470392 2813502 2831274 2866228 3705588 3751336 3775032 4220253 4299342 5627004 5662548 5732456 6449013 7411176 8440506 8598684 11254008 11325096 12660759 12898026 16881012 17197368 19347039 25321518 25796052 33762024 37982277 38694078 50643036 51592104 58041117 75964554 77388156 101286072 116082234 151929108 154776312 199884449 232164468 303858216 399768898 464328936 599653347 799537796 1199306694 1599075592 1798960041 2398613388 3597920082 4797226776 5396880123 7195840164 8195262409 10793760246 14391680328 16190640369 16390524818 21587520492 24585787227 32381280738 32781049636 43175040984 49171574454 64762561476 65562099272 73757361681 98343148908 129525122952 147514723362 196686297816 221272085043 295029446724 442544170086 590058893448 663816255129 885088340172 1327632510258 1770176680344 2655265020516 5310530041032