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99642908160 = 29355315167
BaseRepresentation
bin101110011001100101…
…1100001111000000000
3100112012021201012100000
41130303023201320000
53113032041030120
6113435245200000
710125146513265
oct1346313417000
9315167635300
1099642908160
1139292907784
121738a260000
13951c8425b3
144b7386926c
1528d2bee990
hex17332e1e00

99642908160 has 480 divisors, whose sum is σ = 369488351232. Its totient is φ = 25709322240.

The previous prime is 99642908137. The next prime is 99642908171. The reversal of 99642908160 is 6180924699.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 99642908097 and 99642908106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19281897 + ... + 19287063.

Almost surely, 299642908160 is an apocalyptic number.

99642908160 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 99642908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184744175616).

99642908160 is an abundant number, since it is smaller than the sum of its proper divisors (269845443072).

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

99642908160 is an equidigital number, since it uses as much as digits as its factorization.

99642908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 99642908160 in words is "ninety-nine billion, six hundred forty-two million, nine hundred eight thousand, one hundred sixty".