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99451516226832 = 24327111923312232969
BaseRepresentation
bin10110100111001101011100…
…010011000000110100010000
3111001010110202011022221121200
4112213031130103000310100
5101013403201123224312
6551303221255551200
726643064166040330
oct2647153423006420
9431113664287550
1099451516226832
112976317323a360
12b1a245368b500
13436531240c5c3
141a7b69c7c70c0
15b76e674990dc
hex5a735c4c0d10

99451516226832 has 1920 divisors, whose sum is σ = 395341096550400. Its totient is φ = 22543731302400.

The previous prime is 99451516226831. The next prime is 99451516226833. The reversal of 99451516226832 is 23862261515499.

99451516226832 is a `hidden beast` number, since 9 + 9 + 4 + 5 + 1 + 516 + 22 + 68 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (99451516226831) and next prime (99451516226833).

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

It is a self number, because there is not a number n which added to its sum of digits gives 99451516226832.

It is not an unprimeable number, because it can be changed into a prime (99451516226831) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33496635844 + ... + 33496638812.

It is an arithmetic number, because the mean of its divisors is an integer number (205906821120).

Almost surely, 299451516226832 is an apocalyptic number.

99451516226832 is a gapful number since it is divisible by the number (92) 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 99451516226832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197670548275200).

99451516226832 is an abundant number, since it is smaller than the sum of its proper divisors (295889580323568).

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

99451516226832 is a wasteful number, since it uses less digits than its factorization.

99451516226832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3288 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 99451516226832 in words is "ninety-nine trillion, four hundred fifty-one billion, five hundred sixteen million, two hundred twenty-six thousand, eight hundred thirty-two".