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102188086464 = 2631427372971
BaseRepresentation
bin101111100101011100…
…0100111010011000000
3100202202122220122121010
41133022320213103000
53133240122231324
6114540005200520
710245213255222
oct1371270472300
9322678818533
10102188086464
113a379568922
121797a700140
139836c2c569
144d358ba412
1529d13a1829
hex17cae274c0

102188086464 has 56 divisors (see below), whose sum is σ = 270562840128. Its totient is φ = 34038734080.

The previous prime is 102188086439. The next prime is 102188086471. The reversal of 102188086464 is 464680881201.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87499 + ... + 460469.

It is an arithmetic number, because the mean of its divisors is an integer number (4831479288).

Almost surely, 2102188086464 is an apocalyptic number.

It is an amenable number.

102188086464 is an abundant number, since it is smaller than the sum of its proper divisors (168374753664).

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

102188086464 is a wasteful number, since it uses less digits than its factorization.

102188086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374413 (or 374403 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 102188086464 in words is "one hundred two billion, one hundred eighty-eight million, eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1427 2854 4281 5708 8562 11416 17124 22832 34248 45664 68496 91328 136992 273984 372971 745942 1118913 1491884 2237826 2983768 4475652 5967536 8951304 11935072 17902608 23870144 35805216 71610432 532229617 1064459234 1596688851 2128918468 3193377702 4257836936 6386755404 8515673872 12773510808 17031347744 25547021616 34062695488 51094043232 102188086464