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99796656960 = 263357112131049
BaseRepresentation
bin101110011110001011…
…0000010001101000000
3100112121000000110001000
41130330112002031000
53113340421010320
6113502420412000
710132024405440
oct1347426021500
9315530013030
1099796656960
113936167a500
1217411847000
139545654910
144b8a04c120
1528e146ec90
hex173c582340

99796656960 has 1344 divisors, whose sum is σ = 476731584000. Its totient is φ = 19123568640.

The previous prime is 99796656919. The next prime is 99796656977. The reversal of 99796656960 is 6965669799.

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 (72).

It is a congruent number.

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, 95134516 + ... + 95135564.

It is an arithmetic number, because the mean of its divisors is an integer number (354711000).

Almost surely, 299796656960 is an apocalyptic number.

99796656960 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 99796656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238365792000).

99796656960 is an abundant number, since it is smaller than the sum of its proper divisors (376934927040).

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

99796656960 is a wasteful number, since it uses less digits than its factorization.

99796656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 297606960, while the sum is 72.

The spelling of 99796656960 in words is "ninety-nine billion, seven hundred ninety-six million, six hundred fifty-six thousand, nine hundred sixty".