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93055205376 = 214377253
BaseRepresentation
bin101011010101010000…
…1011100000000000000
322220012011210020000000
41112222201130000000
53011034113033001
6110425440000000
76502665123600
oct1265241340000
9286164706000
1093055205376
1136512268111
1216050000000
138a0ca95303
14470a994c00
1526496c7a86
hex15aa85c000

93055205376 has 720 divisors, whose sum is σ = 330810389280. Its totient is φ = 26085556224.

The previous prime is 93055205357. The next prime is 93055205471. The reversal of 93055205376 is 67350255039.

It is a happy number.

93055205376 is a `hidden beast` number, since 9 + 3 + 0 + 5 + 520 + 53 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755758566 + ... + 1755758618.

It is an arithmetic number, because the mean of its divisors is an integer number (459458874).

Almost surely, 293055205376 is an apocalyptic number.

93055205376 is a gapful number since it is divisible by the number (96) 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 93055205376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165405194640).

93055205376 is an abundant number, since it is smaller than the sum of its proper divisors (237755183904).

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

93055205376 is an frugal number, since it uses more digits than its factorization.

93055205376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 93055205376 in words is "ninety-three billion, fifty-five million, two hundred five thousand, three hundred seventy-six".