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99243360776448 = 2832743476134967
BaseRepresentation
bin10110100100001011100101…
…010000111111000100000000
3111000101120110110010110101100
4112210023211100333010000
5101002000400324321243
6551023434234134400
726622044665643130
oct2644134520770400
9430346413113340
1099243360776448
1129692966986619
12b16a040881400
13434b7bb5c0655
141a71593534ac0
15b718330700d3
hex5a42e543f100

99243360776448 has 864 divisors, whose sum is σ = 342371898925056. Its totient is φ = 27056880893952.

The previous prime is 99243360776437. The next prime is 99243360776449. The reversal of 99243360776448 is 84467706334299.

99243360776448 is a `hidden beast` number, since 9 + 9 + 2 + 4 + 3 + 3 + 607 + 7 + 6 + 4 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (99243360776449) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19980541261 + ... + 19980546227.

It is an arithmetic number, because the mean of its divisors is an integer number (396263771904).

Almost surely, 299243360776448 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 99243360776448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171185949462528).

99243360776448 is an abundant number, since it is smaller than the sum of its proper divisors (243128538148608).

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

99243360776448 is a wasteful number, since it uses less digits than its factorization.

99243360776448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 99243360776448 in words is "ninety-nine trillion, two hundred forty-three billion, three hundred sixty million, seven hundred seventy-six thousand, four hundred forty-eight".