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99190640640 = 21235713113157
BaseRepresentation
bin101110001100000111…
…0010001000000000000
3100111000202200121221010
41130120032101000000
53111120301000030
6113322331400520
710111015351140
oct1343016210000
9314022617833
1099190640640
1139080592473
12172828b3140
139479c30790
144b2d77a920
1528a81646b0
hex1718391000

99190640640 has 832 divisors, whose sum is σ = 396577552896. Its totient is φ = 20610809856.

The previous prime is 99190640623. The next prime is 99190640669. The reversal of 99190640640 is 4604609199.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99190640640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631787442 + ... + 631787598.

Almost surely, 299190640640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99190640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288776448).

99190640640 is an abundant number, since it is smaller than the sum of its proper divisors (297386912256).

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

99190640640 is a wasteful number, since it uses less digits than its factorization.

99190640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 99190640640 in words is "ninety-nine billion, one hundred ninety million, six hundred forty thousand, six hundred forty".