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99471758400 = 263752731131
BaseRepresentation
bin101110010100011111…
…0101001010001000000
3100111202100122220000000
41130220332221101000
53112204232232100
6113410253000000
710121000665350
oct1345076512100
9314670586000
1099471758400
113920523a3a3
1217340a83000
1394c3249b51
144b58c36b60
1528c2b93900
hex1728fa9440

99471758400 has 1344 divisors, whose sum is σ = 436368261120. Its totient is φ = 21835008000.

The previous prime is 99471758341. The next prime is 99471758459. The reversal of 99471758400 is 485717499.

99471758400 is a `hidden beast` number, since 9 + 9 + 47 + 17 + 584 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99471758341) and next prime (99471758459).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 759326335 + ... + 759326465.

Almost surely, 299471758400 is an apocalyptic number.

99471758400 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 99471758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218184130560).

99471758400 is an abundant number, since it is smaller than the sum of its proper divisors (336896502720).

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

99471758400 is a wasteful number, since it uses less digits than its factorization.

99471758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 99471758400 in words is "ninety-nine billion, four hundred seventy-one million, seven hundred fifty-eight thousand, four hundred".