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99564323040 = 25335721397373
BaseRepresentation
bin101110010111001111…
…1110000000011100000
3100111222210211122211000
41130232133300003200
53112401431314130
6113423400552000
710123203532200
oct1345637600340
9314883748730
1099564323040
11392525125a6
1217367a82600
139509489220
144b67250400
1528cad7a260
hex172e7f00e0

99564323040 has 1152 divisors, whose sum is σ = 442234235520. Its totient is φ = 20734672896.

The previous prime is 99564323021. The next prime is 99564323059. The reversal of 99564323040 is 4032346599.

It is an interprime number because it is at equal distance from previous prime (99564323021) and next prime (99564323059).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 266928294 + ... + 266928666.

It is an arithmetic number, because the mean of its divisors is an integer number (383883885).

Almost surely, 299564323040 is an apocalyptic number.

99564323040 is a gapful number since it is divisible by the number (90) 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 99564323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221117117760).

99564323040 is an abundant number, since it is smaller than the sum of its proper divisors (342669912480).

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

99564323040 is a wasteful number, since it uses less digits than its factorization.

99564323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 99564323040 in words is "ninety-nine billion, five hundred sixty-four million, three hundred twenty-three thousand, forty".