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96315022080 = 2833541101673
BaseRepresentation
bin101100110110011010…
…0101001101100000000
3100012121100201001212000
41121230310221230000
53034223121201310
6112125125104000
76646530115434
oct1315464515400
9305540631760
1096315022080
1137935356702
12167bb858000
13910c248534
1449398b09c4
15278a98e4c0
hex166cd29b00

96315022080 has 576 divisors, whose sum is σ = 354112698240. Its totient is φ = 24772608000.

The previous prime is 96315022073. The next prime is 96315022093. The reversal of 96315022080 is 8022051369.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143112624 + ... + 143113296.

It is an arithmetic number, because the mean of its divisors is an integer number (614778990).

Almost surely, 296315022080 is an apocalyptic number.

96315022080 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 96315022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177056349120).

96315022080 is an abundant number, since it is smaller than the sum of its proper divisors (257797676160).

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

96315022080 is a wasteful number, since it uses less digits than its factorization.

96315022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 96315022080 in words is "ninety-six billion, three hundred fifteen million, twenty-two thousand, eighty".