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89272370880 = 263257211131439
BaseRepresentation
bin101001100100100001…
…1000100011011000000
322112102112201022121200
41103021003010123000
52430312211332010
6105002224421200
76310152426600
oct1231103043300
9275375638550
1089272370880
1134950a20610
1215375177800
13855915b0c4
14446c410c00
1524c754ccc0
hex14c90c46c0

89272370880 has 1008 divisors, whose sum is σ = 393532888320. Its totient is φ = 18366566400.

The previous prime is 89272370879. The next prime is 89272370899. The reversal of 89272370880 is 8807327298.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 203353701 + ... + 203354139.

Almost surely, 289272370880 is an apocalyptic number.

89272370880 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 89272370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196766444160).

89272370880 is an abundant number, since it is smaller than the sum of its proper divisors (304260517440).

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

89272370880 is a wasteful number, since it uses less digits than its factorization.

89272370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 598 counting only the distinct ones).

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

The spelling of 89272370880 in words is "eighty-nine billion, two hundred seventy-two million, three hundred seventy thousand, eight hundred eighty".