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93230994631320 = 233457131931536857
BaseRepresentation
bin10101001100101100001000…
…010100010010101010011000
3110020002210111022111122110000
4111030230020110102222120
544204444034111200240
6530141421101453000
725431500646635460
oct2514541024225230
9406083438448400
1093230994631320
1127785051a40317
12a55895b571160
1340038502ac220
141904593256ba0
15aba24363e430
hex54cb08512a98

93230994631320 has 1280 divisors, whose sum is σ = 419068777881600. Its totient is φ = 18034238545920.

The previous prime is 93230994631267. The next prime is 93230994631321. The reversal of 93230994631320 is 2313649903239.

93230994631320 is a `hidden beast` number, since 9 + 3 + 2 + 309 + 9 + 4 + 6 + 3 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93230994631321) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 173392332 + ... + 173929188.

It is an arithmetic number, because the mean of its divisors is an integer number (327397482720).

Almost surely, 293230994631320 is an apocalyptic number.

93230994631320 is a gapful number since it is divisible by the number (90) 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 93230994631320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209534388940800).

93230994631320 is an abundant number, since it is smaller than the sum of its proper divisors (325837783250280).

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

93230994631320 is a wasteful number, since it uses less digits than its factorization.

93230994631320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536950 (or 536937 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 93230994631320 in words is "ninety-three trillion, two hundred thirty billion, nine hundred ninety-four million, six hundred thirty-one thousand, three hundred twenty".