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99224167313376 = 2532749218336961
BaseRepresentation
bin10110100011111001101101…
…001111101110111111100000
3111000022201220211020111210200
4112203321231033232333200
5101001142043313012001
6551010541515425200
726620465236126630
oct2643715517567740
9430281824214720
1099224167313376
1129685807752746
12b166384a55200
134349a50047101
141a706923da6c0
15b710ad01d086
hex5a3e6d3eefe0

99224167313376 has 72 divisors (see below), whose sum is σ = 322478543775024. Its totient is φ = 28349762088960.

The previous prime is 99224167313317. The next prime is 99224167313413. The reversal of 99224167313376 is 67331376142299.

99224167313376 is a `hidden beast` number, since 9 + 9 + 2 + 241 + 6 + 7 + 3 + 13 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24609166465 + ... + 24609170496.

It is an arithmetic number, because the mean of its divisors is an integer number (4478868663542).

Almost surely, 299224167313376 is an apocalyptic number.

99224167313376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

99224167313376 is an abundant number, since it is smaller than the sum of its proper divisors (223254376461648).

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

99224167313376 is a wasteful number, since it uses less digits than its factorization.

99224167313376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49218336984 (or 49218336973 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 63.

The spelling of 99224167313376 in words is "ninety-nine trillion, two hundred twenty-four billion, one hundred sixty-seven million, three hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 49218336961 98436673922 147655010883 196873347844 295310021766 344528358727 393746695688 442965032649 590620043532 689056717454 787493391376 885930065298 1033585076181 1181240087064 1378113434908 1574986782752 1771860130596 2067170152362 2362480174128 2756226869816 3100755228543 3543720261192 4134340304724 4724960348256 5512453739632 6201510457086 7087440522384 8268680609448 11024907479264 12403020914172 14174881044768 16537361218896 24806041828344 33074722437792 49612083656688 99224167313376