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3116475648 = 283411131051
BaseRepresentation
bin1011100111000001…
…1010010100000000
322001012012100220000
42321300122110000
522340304210043
61233124520000
7140141414556
oct27160322400
98035170800
103116475648
11135a195310
1272b850000
133a8876240
14217c85bd6
151339002d3
hexb9c1a500

3116475648 has 360 divisors, whose sum is σ = 10927763616. Its totient is φ = 870912000.

The previous prime is 3116475647. The next prime is 3116475653. The reversal of 3116475648 is 8465746113.

3116475648 is a `hidden beast` number, since 3 + 116 + 475 + 64 + 8 = 666.

Its product of digits (483840) is a multiple of the sum of its prime divisors (1080).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116475647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2964723 + ... + 2965773.

Almost surely, 23116475648 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 3116475648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463881808).

3116475648 is an abundant number, since it is smaller than the sum of its proper divisors (7811287968).

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

3116475648 is a wasteful number, since it uses less digits than its factorization.

3116475648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1080 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3116475648 is about 55825.4032497751. The cubic root of 3116475648 is about 1460.6783061946.

The spelling of 3116475648 in words is "three billion, one hundred sixteen million, four hundred seventy-five thousand, six hundred forty-eight".