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88003492992 = 2732531997243
BaseRepresentation
bin101000111110101101…
…0101011110010000000
322102011010002122101100
41101331122223302000
52420212343233432
6104232300134400
76233544230262
oct1217532536200
9272133078340
1088003492992
113435a74a8a8
1215080237400
1383b62cba9c
14438bab1b32
152450e5907c
hex147d6abc80

88003492992 has 192 divisors, whose sum is σ = 259349688000. Its totient is φ = 28632434688.

The previous prime is 88003492987. The next prime is 88003493027. The reversal of 88003492992 is 29929430088.

It is a happy number.

88003492992 is a `hidden beast` number, since 8 + 8 + 0 + 0 + 349 + 299 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×880034929922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12146523 + ... + 12153765.

It is an arithmetic number, because the mean of its divisors is an integer number (1350779625).

Almost surely, 288003492992 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 88003492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129674844000).

88003492992 is an abundant number, since it is smaller than the sum of its proper divisors (171346195008).

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

88003492992 is a wasteful number, since it uses less digits than its factorization.

88003492992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7515 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 88003492992 in words is "eighty-eight billion, three million, four hundred ninety-two thousand, nine hundred ninety-two".