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88535195040 = 25352961127821
BaseRepresentation
bin101001001110100011…
…0111101110110100000
322110112011120220110210
41102131012331312200
52422310002220130
6104401132254120
76252661512105
oct1223506756640
9273464526423
1088535195040
113460289a486
12151aa311340
13846c503796
1443dc55aaac
1524829855b0
hex149d1bdda0

88535195040 has 384 divisors, whose sum is σ = 295901061120. Its totient is φ = 22217932800.

The previous prime is 88535195029. The next prime is 88535195057. The reversal of 88535195040 is 4059153588.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107837830 + ... + 107838650.

It is an arithmetic number, because the mean of its divisors is an integer number (770575680).

Almost surely, 288535195040 is an apocalyptic number.

88535195040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88535195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147950530560).

88535195040 is an abundant number, since it is smaller than the sum of its proper divisors (207365866080).

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

88535195040 is a wasteful number, since it uses less digits than its factorization.

88535195040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 88535195040 in words is "eighty-eight billion, five hundred thirty-five million, one hundred ninety-five thousand, forty".