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94945996696320 = 28385711296183
BaseRepresentation
bin10101100101101001010110…
…011001111110101100000000
3110110011202012202110100000000
4111211221112121332230000
544421043400123240240
6533533331100000000
725666423210651050
oct2545512631765400
9413152182410000
1094945996696320
1128286409997330
12a795206230000
1340c94a4b04923
1419635a71a5560
15ae9b6b02e430
hex565a5667eb00

94945996696320 has 5184 divisors, whose sum is σ = 452558624394240. Its totient is φ = 18510712012800.

The previous prime is 94945996696307. The next prime is 94945996696337. The reversal of 94945996696320 is 2369669954949.

94945996696320 is a `hidden beast` number, since 9 + 49 + 459 + 9 + 6 + 6 + 96 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 94945996696320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1143927670999 + ... + 1143927671081.

It is an arithmetic number, because the mean of its divisors is an integer number (87299117360).

Almost surely, 294945996696320 is an apocalyptic number.

94945996696320 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 94945996696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226279312197120).

94945996696320 is an abundant number, since it is smaller than the sum of its proper divisors (357612627697920).

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

94945996696320 is an equidigital number, since it uses as much as digits as its factorization.

94945996696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 6122200320, while the sum is 81.

The spelling of 94945996696320 in words is "ninety-four trillion, nine hundred forty-five billion, nine hundred ninety-six million, six hundred ninety-six thousand, three hundred twenty".