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97113848832000 = 213335371131329
BaseRepresentation
bin10110000101001100010100…
…011101100110000000000000
3110201211222211002201011011000
4112011030110131212000000
5100212103130300111000
6542313253010452000
726312146464036150
oct2605142435460000
9421758732634130
1097113848832000
1128a4182aa05000
12aa85393594000
134225a48316c30
1419da49a342760
15b36249ed8000
hex585314766000

97113848832000 has 7168 divisors, whose sum is σ = 502873065676800. Its totient is φ = 17984913408000.

The previous prime is 97113848831891. The next prime is 97113848832047. The reversal of 97113848832000 is 23884831179.

It is a happy number.

97113848832000 is a `hidden beast` number, since 9 + 7 + 1 + 138 + 488 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3348753407986 + ... + 3348753408014.

It is an arithmetic number, because the mean of its divisors is an integer number (70155282600).

Almost surely, 297113848832000 is an apocalyptic number.

97113848832000 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 97113848832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251436532838400).

97113848832000 is an abundant number, since it is smaller than the sum of its proper divisors (405759216844800).

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

97113848832000 is a wasteful number, since it uses less digits than its factorization.

97113848832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 97113848832000 in words is "ninety-seven trillion, one hundred thirteen billion, eight hundred forty-eight million, eight hundred thirty-two thousand".