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96621504568992 = 253313311814193659
BaseRepresentation
bin10101111110000001110010…
…011101010001111010100000
3110200002220222210010011202000
4111332001302131101322200
5100131021320132201432
6541255150104324000
726231446645615434
oct2576016235217240
9420086883104660
1096621504568992
1128871a4a459077
12aa05a8a473600
1341bb4a42b4460
1419c0711bb09c4
15b2853154b57c
hex57e072751ea0

96621504568992 has 768 divisors, whose sum is σ = 315849590784000. Its totient is φ = 28535630745600.

The previous prime is 96621504568987. The next prime is 96621504568997. The reversal of 96621504568992 is 29986540512669.

It is a happy number.

96621504568992 is a `hidden beast` number, since 9 + 6 + 6 + 2 + 1 + 5 + 0 + 456 + 89 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (96621504568987) and next prime (96621504568997).

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

It is a self number, because there is not a number n which added to its sum of digits gives 96621504568992.

It is not an unprimeable number, because it can be changed into a prime (96621504568997) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 26406531259 + ... + 26406534917.

It is an arithmetic number, because the mean of its divisors is an integer number (411262488000).

Almost surely, 296621504568992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96621504568992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157924795392000).

96621504568992 is an abundant number, since it is smaller than the sum of its proper divisors (219228086215008).

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

96621504568992 is a wasteful number, since it uses less digits than its factorization.

96621504568992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 96621504568992 in words is "ninety-six trillion, six hundred twenty-one billion, five hundred four million, five hundred sixty-eight thousand, nine hundred ninety-two".