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93220234348032 = 29321116711012567
BaseRepresentation
bin10101001100100010000110…
…111101000100011000000000
3110020001202201102010121201100
4111030202012331010120000
544204310014443114112
6530132441235334400
725430640211015251
oct2514420675043000
9406052642117640
1093220234348032
1127780530052210
12a556857a51400
134002826c367ac
141903c52146b28
15ab9d13b522dc
hex54c886f44600

93220234348032 has 240 divisors, whose sum is σ = 295255581933312. Its totient is φ = 28079400284160.

The previous prime is 93220234348027. The next prime is 93220234348069. The reversal of 93220234348032 is 23084343202239.

93220234348032 is a `hidden beast` number, since 9 + 3 + 2 + 202 + 3 + 434 + 8 + 0 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2958613 + ... + 13971179.

Almost surely, 293220234348032 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 93220234348032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147627790966656).

93220234348032 is an abundant number, since it is smaller than the sum of its proper divisors (202035347585280).

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

93220234348032 is a wasteful number, since it uses less digits than its factorization.

93220234348032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11012769 (or 11012750 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 93220234348032 in words is "ninety-three trillion, two hundred twenty billion, two hundred thirty-four million, three hundred forty-eight thousand, thirty-two".