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88913516328 = 233271313570439
BaseRepresentation
bin101001011001110101…
…0001001011100101000
322111111112110121201100
41102303222021130220
52424043330010303
6104502445121400
76265234263450
oct1226352113450
9274445417640
1088913516328
11347873a88aa
1215294b59260
1384cc9c4830
1444368bad60
1524a5cb58a3
hex14b3a89728

88913516328 has 96 divisors (see below), whose sum is σ = 296378409600. Its totient is φ = 23449716864.

The previous prime is 88913516327. The next prime is 88913516339. The reversal of 88913516328 is 82361531988.

88913516328 is a `hidden beast` number, since 8 + 8 + 91 + 3 + 516 + 32 + 8 = 666.

It is a super-2 number, since 2×889135163282 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88913516327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6778668 + ... + 6791771.

It is an arithmetic number, because the mean of its divisors is an integer number (3087275100).

Almost surely, 288913516328 is an apocalyptic number.

It is an amenable number.

88913516328 is an abundant number, since it is smaller than the sum of its proper divisors (207464893272).

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

88913516328 is a wasteful number, since it uses less digits than its factorization.

88913516328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13570471 (or 13570464 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 88913516328 in words is "eighty-eight billion, nine hundred thirteen million, five hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 13570439 27140878 40711317 54281756 81422634 94993073 108563512 122133951 162845268 176415707 189986146 244267902 284979219 325690536 352831414 379972292 488535804 529247121 569958438 705662828 759944584 854937657 977071608 1058494242 1139916876 1234909949 1411325656 1587741363 1709875314 2116988484 2279833752 2469819898 3175482726 3419750628 3704729847 4233976968 4939639796 6350965452 6839501256 7409459694 9879279592 11114189541 12701930904 14818919388 22228379082 29637838776 44456758164 88913516328