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99312545376 = 2532113137151181
BaseRepresentation
bin101110001111101111…
…1010010111001100000
3100111100021002000210100
41130133133102321200
53111343002423001
6113342404302400
710114025464422
oct1343737227140
9314307060710
1099312545376
1139133385290
12172b76a1a00
139499273665
144b41a30812
1528b3be4586
hex171f7d2e60

99312545376 has 576 divisors, whose sum is σ = 330608259072. Its totient is φ = 27993600000.

The previous prime is 99312545359. The next prime is 99312545419. The reversal of 99312545376 is 67354521399.

99312545376 is a `hidden beast` number, since 9 + 93 + 1 + 2 + 545 + 3 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548688006 + ... + 548688186.

It is an arithmetic number, because the mean of its divisors is an integer number (573972672).

Almost surely, 299312545376 is an apocalyptic number.

99312545376 is a gapful number since it is divisible by the number (96) 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 99312545376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165304129536).

99312545376 is an abundant number, since it is smaller than the sum of its proper divisors (231295713696).

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

99312545376 is a wasteful number, since it uses less digits than its factorization.

99312545376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 99312545376 in words is "ninety-nine billion, three hundred twelve million, five hundred forty-five thousand, three hundred seventy-six".