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99584991000 = 233353113311013
BaseRepresentation
bin101110010111110111…
…0100101111100011000
3100112001020201200221000
41130233232211330120
53112422224203000
6113425415545000
710123544312505
oct1345756457430
9315036650830
1099584991000
1139263149760
121737298b160
1395108446a1
144b69cb04ac
1528ccaae000
hex172fba5f18

99584991000 has 512 divisors, whose sum is σ = 378123033600. Its totient is φ = 24045120000.

The previous prime is 99584990971. The next prime is 99584991013. The reversal of 99584991000 is 19948599.

99584991000 is a `hidden beast` number, since 99 + 58 + 499 + 10 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98306494 + ... + 98307506.

It is an arithmetic number, because the mean of its divisors is an integer number (738521550).

Almost surely, 299584991000 is an apocalyptic number.

99584991000 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 99584991000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189061516800).

99584991000 is an abundant number, since it is smaller than the sum of its proper divisors (278538042600).

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

99584991000 is a wasteful number, since it uses less digits than its factorization.

99584991000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 99584991000 in words is "ninety-nine billion, five hundred eighty-four million, nine hundred ninety-one thousand".