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88127047008 = 2533711131931173
BaseRepresentation
bin101001000010011001…
…0000000010101100000
322102110201120211122000
41102010302000111200
52420441011001013
6104252432244000
76236604353130
oct1220462002540
9272421524560
1088127047008
1134413469860
12150b56a0600
138405a9b580
1443a0274ac0
15245bc12973
hex1484c80560

88127047008 has 1536 divisors, whose sum is σ = 377162956800. Its totient is φ = 19259596800.

The previous prime is 88127046979. The next prime is 88127047049. The reversal of 88127047008 is 80074072188.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 509404810 + ... + 509404982.

It is an arithmetic number, because the mean of its divisors is an integer number (245548800).

Almost surely, 288127047008 is an apocalyptic number.

88127047008 is a gapful number since it is divisible by the number (88) 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 88127047008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188581478400).

88127047008 is an abundant number, since it is smaller than the sum of its proper divisors (289035909792).

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

88127047008 is a wasteful number, since it uses less digits than its factorization.

88127047008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 88127047008 in words is "eighty-eight billion, one hundred twenty-seven million, forty-seven thousand, eight".