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99690155136 = 2736111331241
BaseRepresentation
bin101110011010111111…
…1110000110010000000
3100112022120121121000000
41130311333300302000
53113131134431021
6113444054000000
710126262223465
oct1346577606200
9315276547000
1099690155136
1139307548070
12173a2046000
1395295758a0
144b79c4766c
1528d6e33b26
hex1735ff0c80

99690155136 has 896 divisors, whose sum is σ = 362605985280. Its totient is φ = 26873856000.

The previous prime is 99690155053. The next prime is 99690155171. The reversal of 99690155136 is 63155109699.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 413651976 + ... + 413652216.

It is an arithmetic number, because the mean of its divisors is an integer number (404694180).

Almost surely, 299690155136 is an apocalyptic number.

99690155136 is a gapful number since it is divisible by the number (96) 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 99690155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181302992640).

99690155136 is an abundant number, since it is smaller than the sum of its proper divisors (262915830144).

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

99690155136 is a wasteful number, since it uses less digits than its factorization.

99690155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 99690155136 in words is "ninety-nine billion, six hundred ninety million, one hundred fifty-five thousand, one hundred thirty-six".