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88753125348 = 22326140415813
BaseRepresentation
bin101001010101000011…
…0010011011111100100
322111002100122220122200
41102222012103133210
52423231300002343
6104434515254500
76261246055326
oct1225206233744
9274070586580
1088753125348
1134704909778
121524b2aa430
1384a56c8124
14441d489616
152496b824d3
hex14aa1937e4

88753125348 has 36 divisors (see below), whose sum is σ = 228026022588. Its totient is φ = 29099384640.

The previous prime is 88753125347. The next prime is 88753125427. The reversal of 88753125348 is 84352135788.

88753125348 is a `hidden beast` number, since 8 + 8 + 75 + 31 + 2 + 534 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15489793764 + 73263331584 = 124458^2 + 270672^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×887531253482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88753125294 and 88753125303.

It is not an unprimeable number, because it can be changed into a prime (88753125341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20205711 + ... + 20210102.

It is an arithmetic number, because the mean of its divisors is an integer number (6334056183).

Almost surely, 288753125348 is an apocalyptic number.

It is an amenable number.

88753125348 is an abundant number, since it is smaller than the sum of its proper divisors (139272897240).

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

88753125348 is a wasteful number, since it uses less digits than its factorization.

88753125348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40415884 (or 40415879 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 88753125348 in words is "eighty-eight billion, seven hundred fifty-three million, one hundred twenty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 40415813 80831626 121247439 161663252 242494878 363742317 484989756 727484634 1454969268 2465364593 4930729186 7396093779 9861458372 14792187558 22188281337 29584375116 44376562674 88753125348