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99014735648724 = 223731376175122433
BaseRepresentation
bin10110100000110110101010…
…001001010101011111010100
3110222120201100011121121201020
4112200312222021111133110
5100434224134311224344
6550330424104201140
726566402311266220
oct2640665211253724
9428521304547636
1099014735648724
1129604a05a68275
12b1318767691b0
1343330849ca79c
141a644a5859780
15b6a901a51719
hex5a0daa2557d4

99014735648724 has 384 divisors, whose sum is σ = 284903535673344. Its totient is φ = 26164684800000.

The previous prime is 99014735648711. The next prime is 99014735648749. The reversal of 99014735648724 is 42784653741099.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4413787012 + ... + 4413809444.

It is an arithmetic number, because the mean of its divisors is an integer number (741936290816).

It is a 1-persistent number, because it is pandigital, but 2⋅99014735648724 = 198029471297448 is not.

Almost surely, 299014735648724 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 99014735648724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142451767836672).

99014735648724 is an abundant number, since it is smaller than the sum of its proper divisors (185888800024620).

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

99014735648724 is a wasteful number, since it uses less digits than its factorization.

99014735648724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23327 (or 23325 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 99014735648724 in words is "ninety-nine trillion, fourteen billion, seven hundred thirty-five million, six hundred forty-eight thousand, seven hundred twenty-four".