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99159720480 = 2534525313023
BaseRepresentation
bin101110001011001100…
…0010100001000100000
3100110221121111201110000
41130112120110020200
53111034342023410
6113315304540000
710110161500662
oct1342630241040
9313847451400
1099159720480
1139065093717
1217274481600
1394736c5a22
144b2960c532
1528a55a7dc0
hex1716614220

99159720480 has 240 divisors, whose sum is σ = 350205254784. Its totient is φ = 26423400960.

The previous prime is 99159720479. The next prime is 99159720487. The reversal of 99159720480 is 8402795199.

99159720480 is a `hidden beast` number, since 9 + 9 + 1 + 597 + 2 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (99159720487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32800249 + ... + 32803271.

Almost surely, 299159720480 is an apocalyptic number.

99159720480 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 99159720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175102627392).

99159720480 is an abundant number, since it is smaller than the sum of its proper divisors (251045534304).

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

99159720480 is a wasteful number, since it uses less digits than its factorization.

99159720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 99159720480 in words is "ninety-nine billion, one hundred fifty-nine million, seven hundred twenty thousand, four hundred eighty".