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96360693120 = 2733518130809
BaseRepresentation
bin101100110111110001…
…0110111110110000000
3100012201112122101202000
41121233202313312000
53034321314134440
6112133440024000
76650623243236
oct1315742676600
9305645571660
1096360693120
113795910aa6a
1216813002000
139118849413
14494199c956
15278e9b1730
hex166f8b7d80

96360693120 has 256 divisors, whose sum is σ = 343174104000. Its totient is φ = 25553387520.

The previous prime is 96360693103. The next prime is 96360693157. The reversal of 96360693120 is 2139606369.

It is a happy number.

96360693120 is a `hidden beast` number, since 9 + 6 + 3 + 606 + 9 + 31 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3112276 + ... + 3143084.

Almost surely, 296360693120 is an apocalyptic number.

96360693120 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 96360693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171587052000).

96360693120 is an abundant number, since it is smaller than the sum of its proper divisors (246813410880).

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

96360693120 is a wasteful number, since it uses less digits than its factorization.

96360693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31018 (or 31000 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 96360693120 in words is "ninety-six billion, three hundred sixty million, six hundred ninety-three thousand, one hundred twenty".