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99156778560 = 2634571723161
BaseRepresentation
bin101110001011000110…
…1000101111001000000
3100110221101222020220000
41130112031011321000
53111033113403220
6113315121520000
710110124465650
oct1342615057100
9313841866800
1099156778560
1139063464384
12172734a3000
139472c05948
144b29084360
1528a51c6390
hex1716345e40

99156778560 has 1680 divisors, whose sum is σ = 449273054208. Its totient is φ = 20304691200.

The previous prime is 99156778549. The next prime is 99156778579. The reversal of 99156778560 is 6587765199.

99156778560 is a `hidden beast` number, since 9 + 9 + 1 + 5 + 67 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1625520930 + ... + 1625520990.

Almost surely, 299156778560 is an apocalyptic number.

99156778560 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 99156778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224636527104).

99156778560 is an abundant number, since it is smaller than the sum of its proper divisors (350116275648).

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

99156778560 is a wasteful number, since it uses less digits than its factorization.

99156778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 99156778560 in words is "ninety-nine billion, one hundred fifty-six million, seven hundred seventy-eight thousand, five hundred sixty".