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87838462964 = 22729883122509
BaseRepresentation
bin101000111001110010…
…1001001001111110100
322101201121120020202002
41101303211021033310
52414343121303324
6104204043034432
76226501421210
oct1216345111764
9271647506662
1087838462964
113428558234a
1215034b0ba18
13838b069995
144373bd3940
15244170b3ae
hex14739493f4

87838462964 has 48 divisors (see below), whose sum is σ = 181942051200. Its totient is φ = 36305490816.

The previous prime is 87838462937. The next prime is 87838462969. The reversal of 87838462964 is 46926483878.

It is a self number, because there is not a number n which added to its sum of digits gives 87838462964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87838462969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655742 + ... + 778250.

It is an arithmetic number, because the mean of its divisors is an integer number (3790459400).

Almost surely, 287838462964 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 87838462964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90971025600).

87838462964 is an abundant number, since it is smaller than the sum of its proper divisors (94103588236).

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

87838462964 is a wasteful number, since it uses less digits than its factorization.

87838462964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123432 (or 123430 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 65.

The spelling of 87838462964 in words is "eighty-seven billion, eight hundred thirty-eight million, four hundred sixty-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 883 1766 3532 6181 12362 24724 25607 51214 102428 122509 179249 245018 358498 490036 716996 857563 1715126 3430252 3552761 7105522 14211044 24869327 49738654 99477308 108175447 216350894 432701788 757228129 1514456258 3028912516 3137087963 6274175926 12548351852 21959615741 43919231482 87838462964