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97347048099840 = 2123457111940111
BaseRepresentation
bin10110001000100101100000…
…001110001101000000000000
3110202200021202011021101110000
4112020211200032031000000
5100224413223303143330
6543012341100240000
726335043413102410
oct2610454016150000
9422607664241400
1097347048099840
1129021718902540
12ab02615540000
134241a30771696
141a0789d706640
15b3c347d8c560
hex58896038d000

97347048099840 has 2080 divisors, whose sum is σ = 457982719856640. Its totient is φ = 19162850918400.

The previous prime is 97347048099811. The next prime is 97347048099893. The reversal of 97347048099840 is 4899084074379.

97347048099840 is a `hidden beast` number, since 9 + 7 + 34 + 70 + 480 + 9 + 9 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2426921385 + ... + 2426961495.

Almost surely, 297347048099840 is an apocalyptic number.

97347048099840 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 97347048099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228991359928320).

97347048099840 is an abundant number, since it is smaller than the sum of its proper divisors (360635671756800).

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

97347048099840 is a wasteful number, since it uses less digits than its factorization.

97347048099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40189 (or 40158 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 97347048099840 in words is "ninety-seven trillion, three hundred forty-seven billion, forty-eight million, ninety-nine thousand, eight hundred forty".