Base | Representation |
---|---|
bin | 10110101010010011110111… |
… | …001011101000000000000000 |
3 | 111001212211200010010100020000 |
4 | 112222103313023220000000 |
5 | 101030401013421444120 |
6 | 551545134234120000 |
7 | 26664345623413410 |
oct | 2652236713500000 |
9 | 431784603110200 |
10 | 99664568156160 |
11 | 29835562524207 |
12 | b2177b2280000 |
13 | 437c4367b2a87 |
14 | 1a87b100b0640 |
15 | b7c7866cb990 |
hex | 5aa4f72e8000 |
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".
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