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99664568156160 = 215345741137191
BaseRepresentation
bin10110101010010011110111…
…001011101000000000000000
3111001212211200010010100020000
4112222103313023220000000
5101030401013421444120
6551545134234120000
726664345623413410
oct2652236713500000
9431784603110200
1099664568156160
1129835562524207
12b2177b2280000
13437c4367b2a87
141a87b100b0640
15b7c7866cb990
hex5aa4f72e8000

99664568156160 has 2560 divisors, whose sum is σ = 423574217256960. Its totient is φ = 21947115110400.

The previous prime is 99664568156129. The next prime is 99664568156171. The reversal of 99664568156160 is 6165186546699.

99664568156160 is a `hidden beast` number, since 9 + 9 + 6 + 6 + 4 + 56 + 8 + 1 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×996645681561602 (a number of 29 digits) contains 22 as substring.

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

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 159 ways as a sum of consecutive naturals, for example, 521804021665 + ... + 521804021855.

It is an arithmetic number, because the mean of its divisors is an integer number (165458678616).

Almost surely, 299664568156160 is an apocalyptic number.

99664568156160 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 99664568156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211787108628480).

99664568156160 is an abundant number, since it is smaller than the sum of its proper divisors (323909649100800).

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

99664568156160 is a wasteful number, since it uses less digits than its factorization.

99664568156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 386 counting only the distinct ones).

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

The spelling of 99664568156160 in words is "ninety-nine trillion, six hundred sixty-four billion, five hundred sixty-eight million, one hundred fifty-six thousand, one hundred sixty".