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96672102912 = 293571110091
BaseRepresentation
bin101101000001000011…
…0110011101000000000
3100020112020121122200000
41122002012303220000
53040441024243122
6112224402400000
76661424213430
oct1320206635000
9306466548600
1096672102912
1137aa8977830
121689b360000
139168210678
1449710a22c0
1527abec60ac
hex16821b3a00

96672102912 has 480 divisors, whose sum is σ = 360765909504. Its totient is φ = 25107148800.

The previous prime is 96672102911. The next prime is 96672102977. The reversal of 96672102912 is 21920127669.

96672102912 is a `hidden beast` number, since 96 + 67 + 210 + 291 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (96672102911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9574987 + ... + 9585077.

Almost surely, 296672102912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96672102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180382954752).

96672102912 is an abundant number, since it is smaller than the sum of its proper divisors (264093806592).

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

96672102912 is a wasteful number, since it uses less digits than its factorization.

96672102912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 96672102912 in words is "ninety-six billion, six hundred seventy-two million, one hundred two thousand, nine hundred twelve".