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102892960038 = 231110301151343
BaseRepresentation
bin101111111010011100…
…1011111100100100110
3100211120210020221100210
41133310321133210212
53141211044210123
6115133545120250
710301532505221
oct1376471374446
9324523227323
10102892960038
113a700436870
1217b36789086
139919c8700b
144da13625b8
152a231d7e93
hex17f4e5f926

102892960038 has 32 divisors (see below), whose sum is σ = 224517007872. Its totient is φ = 31176452000.

The previous prime is 102892959977. The next prime is 102892960073. The reversal of 102892960038 is 830069298201.

It is a super-2 number, since 2×1028929600382 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604195 + ... + 755537.

It is an arithmetic number, because the mean of its divisors is an integer number (7016156496).

Almost surely, 2102892960038 is an apocalyptic number.

102892960038 is an abundant number, since it is smaller than the sum of its proper divisors (121624047834).

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

102892960038 is a wasteful number, since it uses less digits than its factorization.

102892960038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161660.

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 102892960038 in words is "one hundred two billion, eight hundred ninety-two million, nine hundred sixty thousand, thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 10301 20602 30903 61806 113311 151343 226622 302686 339933 454029 679866 908058 1664773 3329546 4994319 9988638 1558984243 3117968486 4676952729 9353905458 17148826673 34297653346 51446480019 102892960038