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97923456645120 = 21136547713931
BaseRepresentation
bin10110010000111110010100…
…110110010011100000000000
3110211201101120001122101000000
4112100332110312103200000
5100313334214400120440
6544133225344000000
726424510353642151
oct2620762466234000
9424641501571000
1097923456645120
1129224117464a17
12ab9627b600000
1342841b0946812
141a277406db928
15b4c331a19730
hex590f94d93800

97923456645120 has 1344 divisors, whose sum is σ = 364932516049920. Its totient is φ = 25190955417600.

The previous prime is 97923456645089. The next prime is 97923456645151. The reversal of 97923456645120 is 2154665432979.

It is a happy number.

97923456645120 is a `hidden beast` number, since 9 + 7 + 9 + 2 + 3 + 4 + 56 + 64 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97923456645089) and next prime (97923456645151).

It is a super-2 number, since 2×979234566451202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24910569555 + ... + 24910573485.

It is an arithmetic number, because the mean of its divisors is an integer number (271527169680).

Almost surely, 297923456645120 is an apocalyptic number.

97923456645120 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 97923456645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182466258024960).

97923456645120 is an abundant number, since it is smaller than the sum of its proper divisors (267009059404800).

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

97923456645120 is an equidigital number, since it uses as much as digits as its factorization.

97923456645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 97923456645120 in words is "ninety-seven trillion, nine hundred twenty-three billion, four hundred fifty-six million, six hundred forty-five thousand, one hundred twenty".