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89055977472 = 21335721183
BaseRepresentation
bin101001011110000100…
…1100110000000000000
322111212110112101200000
41102330021212000000
52424341312234342
6104524534400000
76301614214200
oct1227411460000
9274773471600
1089055977472
113484a860a90
1215314800000
138523384177
14444b7a2400
1524b355644c
hex14bc266000

89055977472 has 1008 divisors, whose sum is σ = 342633799872. Its totient is φ = 22852730880.

The previous prime is 89055977467. The next prime is 89055977513. The reversal of 89055977472 is 27477955098.

89055977472 is a `hidden beast` number, since 8 + 9 + 0 + 559 + 7 + 7 + 4 + 72 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1072963543 + ... + 1072963625.

It is an arithmetic number, because the mean of its divisors is an integer number (339914484).

Almost surely, 289055977472 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 89055977472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171316899936).

89055977472 is an abundant number, since it is smaller than the sum of its proper divisors (253577822400).

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

89055977472 is an equidigital number, since it uses as much as digits as its factorization.

89055977472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 89055977472 in words is "eighty-nine billion, fifty-five million, nine hundred seventy-seven thousand, four hundred seventy-two".