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88375149056 = 298310919079
BaseRepresentation
bin101001001001110010…
…0011100001000000000
322110010000102201122202
41102103210130020000
52421443014232211
6104333214052332
76246006241535
oct1222344341000
9273100381582
1088375149056
1134530516577
12151647aa0a8
1384452c810c
1443c51b8d8c
1524738be53b
hex149391c200

88375149056 has 80 divisors (see below), whose sum is σ = 180354081600. Its totient is φ = 43252420608.

The previous prime is 88375149053. The next prime is 88375149061. The reversal of 88375149056 is 65094157388.

It is a super-2 number, since 2×883751490562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88375148992 and 88375149010.

It is not an unprimeable number, because it can be changed into a prime (88375149053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4622525 + ... + 4641603.

It is an arithmetic number, because the mean of its divisors is an integer number (2254426020).

Almost surely, 288375149056 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 88375149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90177040800).

88375149056 is an abundant number, since it is smaller than the sum of its proper divisors (91978932544).

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

88375149056 is a wasteful number, since it uses less digits than its factorization.

88375149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19289 (or 19273 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 88375149056 in words is "eighty-eight billion, three hundred seventy-five million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 83 109 128 166 218 256 332 436 512 664 872 1328 1744 2656 3488 5312 6976 9047 10624 13952 18094 19079 21248 27904 36188 38158 42496 55808 72376 76316 144752 152632 289504 305264 579008 610528 1158016 1221056 1583557 2079611 2316032 2442112 3167114 4159222 4632064 4884224 6334228 8318444 9768448 12668456 16636888 25336912 33273776 50673824 66547552 101347648 133095104 172607713 202695296 266190208 345215426 405390592 532380416 690430852 810781184 1064760832 1380861704 2761723408 5523446816 11046893632 22093787264 44187574528 88375149056