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88137938880 = 263251789113179
BaseRepresentation
bin101001000010101101…
…1100011011111000000
322102111111002012110200
41102011123203133000
52421001303021010
6104253501525200
76240066055635
oct1220533433700
9272444065420
1088137938880
1134419629002
12150b9273800
138408113074
1443a18ac18c
15245cb64cc0
hex14856e37c0

88137938880 has 672 divisors, whose sum is σ = 329299214400. Its totient is φ = 21557673984.

The previous prime is 88137938879. The next prime is 88137938899. The reversal of 88137938880 is 8883973188.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492390631 + ... + 492390809.

Almost surely, 288137938880 is an apocalyptic number.

88137938880 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 88137938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164649607200).

88137938880 is an abundant number, since it is smaller than the sum of its proper divisors (241161275520).

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

88137938880 is a wasteful number, since it uses less digits than its factorization.

88137938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 88137938880 in words is "eighty-eight billion, one hundred thirty-seven million, nine hundred thirty-eight thousand, eight hundred eighty".