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99597227571072 = 2734711278714411
BaseRepresentation
bin10110101001010101001001…
…010111101011011110000000
3111001122101212000221011210000
4112221111021113223132000
5101023300110224233242
6551454200143440000
726656443101034120
oct2651251127533600
9431571760834700
1099597227571072
1129809a46518a00
12b206739bb6000
134375c94311c1a
141a84762764c80
15b7ab447d5a4c
hex5a95495eb780

99597227571072 has 960 divisors, whose sum is σ = 372835836616320. Its totient is φ = 25834746009600.

The previous prime is 99597227571059. The next prime is 99597227571151. The reversal of 99597227571072 is 27017572279599.

99597227571072 is a `hidden beast` number, since 9 + 9 + 597 + 2 + 27 + 5 + 7 + 1 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×995972275710722 (a number of 29 digits) contains 22 as substring.

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

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 119 ways as a sum of consecutive naturals, for example, 6911187547 + ... + 6911201957.

It is an arithmetic number, because the mean of its divisors is an integer number (388370663142).

Almost surely, 299597227571072 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 99597227571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186417918308160).

99597227571072 is an abundant number, since it is smaller than the sum of its proper divisors (273238609045248).

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

99597227571072 is a wasteful number, since it uses less digits than its factorization.

99597227571072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15253 (or 15221 counting only the distinct ones).

The product of its (nonzero) digits is 350065800, while the sum is 72.

The spelling of 99597227571072 in words is "ninety-nine trillion, five hundred ninety-seven billion, two hundred twenty-seven million, five hundred seventy-one thousand, seventy-two".