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99213599181312 = 29377112731433
BaseRepresentation
bin10110100011101111110111…
…010101100000101000000000
3111000021201122022102210000000
4112203233313111200220000
5101001003422342300222
6551002033120000000
726616642322364160
oct2643576725405000
9430251568383000
1099213599181312
1129681284276700
12b164315760000
134348a5773b325
141a6dd6ca285a0
15b70b903399ac
hex5a3bf7560a00

99213599181312 has 1920 divisors, whose sum is σ = 378854086786560. Its totient is φ = 25399018782720.

The previous prime is 99213599181287. The next prime is 99213599181343. The reversal of 99213599181312 is 21318199531299.

99213599181312 is a `hidden beast` number, since 9 + 9 + 2 + 1 + 3 + 599 + 1 + 8 + 1 + 31 + 2 = 666.

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 99213599181312.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69234890548 + ... + 69234891980.

It is an arithmetic number, because the mean of its divisors is an integer number (197319836868).

Almost surely, 299213599181312 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 99213599181312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189427043393280).

99213599181312 is an abundant number, since it is smaller than the sum of its proper divisors (279640487605248).

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

99213599181312 is an equidigital number, since it uses as much as digits as its factorization.

99213599181312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1529 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 63.

The spelling of 99213599181312 in words is "ninety-nine trillion, two hundred thirteen billion, five hundred ninety-nine million, one hundred eighty-one thousand, three hundred twelve".