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98057696256 = 21033131491831
BaseRepresentation
bin101101101010010110…
…0011011010000000000
3100101002210212002102000
41123110230123100000
53101310232240011
6113014100424000
710040650444242
oct1332454332000
9311083762360
1098057696256
113864a0165a3
12170073a8000
1393292b68a0
144a63104092
15283d972356
hex16d4b1b400

98057696256 has 352 divisors, whose sum is σ = 315008736000. Its totient is φ = 29952737280.

The previous prime is 98057696227. The next prime is 98057696281. The reversal of 98057696256 is 65269675089.

98057696256 is a `hidden beast` number, since 9 + 8 + 0 + 576 + 9 + 6 + 2 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 98057696193 and 98057696202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53553261 + ... + 53555091.

Almost surely, 298057696256 is an apocalyptic number.

98057696256 is a gapful number since it is divisible by the number (96) 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 98057696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157504368000).

98057696256 is an abundant number, since it is smaller than the sum of its proper divisors (216951039744).

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

98057696256 is a wasteful number, since it uses less digits than its factorization.

98057696256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 98057696256 in words is "ninety-eight billion, fifty-seven million, six hundred ninety-six thousand, two hundred fifty-six".