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99445684469760 = 215335172945599
BaseRepresentation
bin10110100111001000000000…
…101100101000000000000000
3111001002220200201211222212000
4112213020000230220000000
5101013304230211013020
6551300414453104000
726642466523652166
oct2647100054500000
9431086621758760
1099445684469760
1129760750380a12
12b1a12a6628000
1343648c315c185
141a7b2a8091236
15b76c254e6090
hex5a7200b28000

99445684469760 has 1024 divisors, whose sum is σ = 387296121600000. Its totient is φ = 24097736097792.

The previous prime is 99445684469749. The next prime is 99445684469797. The reversal of 99445684469760 is 6796448654499.

99445684469760 is a `hidden beast` number, since 9 + 9 + 4 + 4 + 5 + 6 + 84 + 469 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a self number, because there is not a number n which added to its sum of digits gives 99445684469760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2180851441 + ... + 2180897039.

It is an arithmetic number, because the mean of its divisors is an integer number (378218868750).

Almost surely, 299445684469760 is an apocalyptic number.

99445684469760 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 99445684469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193648060800000).

99445684469760 is an abundant number, since it is smaller than the sum of its proper divisors (287850437130240).

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

99445684469760 is a wasteful number, since it uses less digits than its factorization.

99445684469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45689 (or 45655 counting only the distinct ones).

The product of its (nonzero) digits is 11287019520, while the sum is 81.

The spelling of 99445684469760 in words is "ninety-nine trillion, four hundred forty-five billion, six hundred eighty-four million, four hundred sixty-nine thousand, seven hundred sixty".