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99414655200 = 253252715113063
BaseRepresentation
bin101110010010110010…
…0110100000011100000
3100111121101012202010200
41130211210310003200
53112100122431300
6113400453025200
710116405424620
oct1344544640340
9314541182120
1099414655200
1139185a87973
1217325925200
1394b4475583
144b51410880
1528bcb64200
hex17259340e0

99414655200 has 432 divisors, whose sum is σ = 403325185536. Its totient is φ = 22571136000.

The previous prime is 99414655139. The next prime is 99414655229. The reversal of 99414655200 is 255641499.

99414655200 is a `hidden beast` number, since 9 + 94 + 1 + 4 + 6 + 552 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 7603869 + ... + 7616931.

Almost surely, 299414655200 is an apocalyptic number.

99414655200 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 99414655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201662592768).

99414655200 is an abundant number, since it is smaller than the sum of its proper divisors (303910530336).

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

99414655200 is a wasteful number, since it uses less digits than its factorization.

99414655200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13247 (or 13231 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 99414655200 in words is "ninety-nine billion, four hundred fourteen million, six hundred fifty-five thousand, two hundred".