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88540375104 = 2633415872129
BaseRepresentation
bin101001001110101101…
…0101110100001000000
322110112112100002012000
41102131122232201000
52422312314000404
6104401435304000
76253053525246
oct1223532564100
9273475302160
1088540375104
1134605808325
12151abbab000
1384705c84cc
1443dd108796
15248315a339
hex149d6ae840

88540375104 has 224 divisors, whose sum is σ = 267220598400. Its totient is φ = 28731064320.

The previous prime is 88540375051. The next prime is 88540375151. The reversal of 88540375104 is 40157304588.

88540375104 is a `hidden beast` number, since 88 + 54 + 0 + 3 + 7 + 510 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 88540375104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41586712 + ... + 41588840.

It is an arithmetic number, because the mean of its divisors is an integer number (1192949100).

Almost surely, 288540375104 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 88540375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133610299200).

88540375104 is an abundant number, since it is smaller than the sum of its proper divisors (178680223296).

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

88540375104 is a wasteful number, since it uses less digits than its factorization.

88540375104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 88540375104 in words is "eighty-eight billion, five hundred forty million, three hundred seventy-five thousand, one hundred four".