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96548474880 = 2123451121337
BaseRepresentation
bin101100111101010111…
…1001101000000000000
3100020012121222200220000
41121322233031000000
53040212402144010
6112204224520000
76655363332024
oct1317257150000
9306177880800
1096548474880
1137a45108200
1216865a80000
1391487162a0
14495c8c0384
1527a12057c0
hex167abcd000

96548474880 has 1560 divisors, whose sum is σ = 420762299496. Its totient is φ = 21021327360.

The previous prime is 96548474879. The next prime is 96548474899. The reversal of 96548474880 is 8847484569.

96548474880 is a `hidden beast` number, since 9 + 6 + 5 + 484 + 74 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11601874944 + 84946599936 = 107712^2 + 291456^2 .

It is a tau number, because it is divible by the number of its divisors (1560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2609418222 + ... + 2609418258.

Almost surely, 296548474880 is an apocalyptic number.

96548474880 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 96548474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210381149748).

96548474880 is an abundant number, since it is smaller than the sum of its proper divisors (324213824616).

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

96548474880 is a wasteful number, since it uses less digits than its factorization.

96548474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 96548474880 in words is "ninety-six billion, five hundred forty-eight million, four hundred seventy-four thousand, eight hundred eighty".