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96748431120 = 243251152323357
BaseRepresentation
bin101101000011010100…
…1111110011100010000
3100020201120020112021200
41122012221332130100
53041120044243440
6112240130351200
76663342044565
oct1320651763420
9306646215250
1096748431120
1138037a702a0
1216900a2b500
13917ac866a3
14497b29086c
1527b3a51c30
hex1686a7e710

96748431120 has 240 divisors, whose sum is σ = 355144001472. Its totient is φ = 23408317440.

The previous prime is 96748431119. The next prime is 96748431149. The reversal of 96748431120 is 2113484769.

96748431120 is a `hidden beast` number, since 96 + 7 + 4 + 8 + 431 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 4130482 + ... + 4153838.

Almost surely, 296748431120 is an apocalyptic number.

96748431120 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 96748431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177572000736).

96748431120 is an abundant number, since it is smaller than the sum of its proper divisors (258395570352).

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

96748431120 is a wasteful number, since it uses less digits than its factorization.

96748431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23910 (or 23901 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 96748431120 in words is "ninety-six billion, seven hundred forty-eight million, four hundred thirty-one thousand, one hundred twenty".