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88923870720 = 2932518012143
BaseRepresentation
bin101001011010001000…
…1101001011000000000
322111112020221200021100
41102310101221120000
52424104002330340
6104503455054400
76265421300256
oct1226421513000
9274466850240
1088923870720
1134792230253
1215298511400
138501bab7a9
1444380145d6
1524a6b5d830
hex14b4469600

88923870720 has 240 divisors, whose sum is σ = 308283161472. Its totient is φ = 23688806400.

The previous prime is 88923870719. The next prime is 88923870733. The reversal of 88923870720 is 2707832988.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41493969 + ... + 41496111.

Almost surely, 288923870720 is an apocalyptic number.

88923870720 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 88923870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154141580736).

88923870720 is an abundant number, since it is smaller than the sum of its proper divisors (219359290752).

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

88923870720 is a wasteful number, since it uses less digits than its factorization.

88923870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 88923870720 in words is "eighty-eight billion, nine hundred twenty-three million, eight hundred seventy thousand, seven hundred twenty".