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89938206720 = 213325243973
BaseRepresentation
bin101001111000010111…
…1000010000000000000
322121010221121021200100
41103300233002000000
52433143140103340
6105152251522400
76332516100135
oct1236057020000
9277127537610
1089938206720
113516285596a
1215520159400
138634097ccb
1444d2a1458c
152515c22830
hex14f0bc2000

89938206720 has 168 divisors, whose sum is σ = 311768031276. Its totient is φ = 23983423488.

The previous prime is 89938206647. The next prime is 89938206739. The reversal of 89938206720 is 2760283998.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82171662336 + 7766544384 = 286656^2 + 88128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246654 + ... + 490626.

Almost surely, 289938206720 is an apocalyptic number.

89938206720 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 89938206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155884015638).

89938206720 is an abundant number, since it is smaller than the sum of its proper divisors (221829824556).

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

89938206720 is a wasteful number, since it uses less digits than its factorization.

89938206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244010 (or 243983 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 89938206720 in words is "eighty-nine billion, nine hundred thirty-eight million, two hundred six thousand, seven hundred twenty".