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96745380480 = 2733572114259
BaseRepresentation
bin101101000011001111…
…0010101101010000000
3100020201100111112121000
41122012132111222000
53041113304133410
6112235541132000
76663304110600
oct1320636255200
9306640445530
1096745380480
1138036277301
12168bb9ba000
13917a458c88
14497aad8c00
1527b364cdc0
hex1686795a80

96745380480 has 384 divisors, whose sum is σ = 398584584000. Its totient is φ = 22113036288.

The previous prime is 96745380469. The next prime is 96745380521. The reversal of 96745380480 is 8408354769.

96745380480 is a `hidden beast` number, since 9 + 67 + 4 + 538 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789591 + ... + 903849.

Almost surely, 296745380480 is an apocalyptic number.

96745380480 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 96745380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199292292000).

96745380480 is an abundant number, since it is smaller than the sum of its proper divisors (301839203520).

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

96745380480 is a wasteful number, since it uses less digits than its factorization.

96745380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114301 (or 114276 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 96745380480 in words is "ninety-six billion, seven hundred forty-five million, three hundred eighty thousand, four hundred eighty".