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96239314080 = 253657139067
BaseRepresentation
bin101100110100001001…
…1110110010010100000
3100012102002020201000000
41121220103312102200
53034044231022310
6112113422300000
76644620446420
oct1315023662240
9305362221000
1096239314080
11378a6647108
121679a427600
1390c965b8c0
14492d804480
152783ed74c0
hex16684f64a0

96239314080 has 672 divisors, whose sum is σ = 419605812864. Its totient is φ = 20303198208.

The previous prime is 96239314079. The next prime is 96239314097. The reversal of 96239314080 is 8041393269.

It is a happy number.

96239314080 is a `hidden beast` number, since 9 + 6 + 239 + 3 + 1 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10609707 + ... + 10618773.

It is an arithmetic number, because the mean of its divisors is an integer number (624413412).

Almost surely, 296239314080 is an apocalyptic number.

96239314080 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 96239314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209802906432).

96239314080 is an abundant number, since it is smaller than the sum of its proper divisors (323366498784).

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

96239314080 is a wasteful number, since it uses less digits than its factorization.

96239314080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 9097 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 96239314080 in words is "ninety-six billion, two hundred thirty-nine million, three hundred fourteen thousand, eighty".