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99976607640 = 233357132174603
BaseRepresentation
bin101110100011100010…
…0011111011110011000
3100120001112121212222000
41131013010133132120
53114223002421030
6113532325401000
710136341100130
oct1350704373630
9316045555860
1099976607640
1139444209078
1217461b69160
139573a0c200
144ba5cd1ac0
152902168860
hex174711f798

99976607640 has 768 divisors, whose sum is σ = 436768588800. Its totient is φ = 19848830976.

The previous prime is 99976607639. The next prime is 99976607651. The reversal of 99976607640 is 4670667999.

99976607640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 21717579 + ... + 21722181.

It is an arithmetic number, because the mean of its divisors is an integer number (568709100).

Almost surely, 299976607640 is an apocalyptic number.

99976607640 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 99976607640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218384294400).

99976607640 is an abundant number, since it is smaller than the sum of its proper divisors (336791981160).

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

99976607640 is a wasteful number, since it uses less digits than its factorization.

99976607640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 99976607640 in words is "ninety-nine billion, nine hundred seventy-six million, six hundred seven thousand, six hundred forty".