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99816130560 = 211359973259
BaseRepresentation
bin101110011110110000…
…0010100100000000000
3100112122100122210210110
41130331200110200000
53113410412134220
6113504354031320
710132352052666
oct1347540244000
9315570583713
1099816130560
1139371670293
1217418278540
1395496b2563
144b8c87ac36
1528e3019be0
hex173d814800

99816130560 has 192 divisors, whose sum is σ = 319752014400. Its totient is φ = 26582777856.

The previous prime is 99816130499. The next prime is 99816130591. The reversal of 99816130560 is 6503161899.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30626211 + ... + 30629469.

It is an arithmetic number, because the mean of its divisors is an integer number (1665375075).

Almost surely, 299816130560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99816130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159876007200).

99816130560 is an abundant number, since it is smaller than the sum of its proper divisors (219935883840).

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

99816130560 is a wasteful number, since it uses less digits than its factorization.

99816130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 99816130560 in words is "ninety-nine billion, eight hundred sixteen million, one hundred thirty thousand, five hundred sixty".