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3116112984 = 233318317879
BaseRepresentation
bin1011100110111100…
…0001110001011000
322001011111221102000
42321233001301120
522340211103414
61233113041000
7140135344335
oct27157016130
98034457360
103116112984
111359a67896
1272b6b6160
133a877a14a
14217bcd98c
1513387cb09
hexb9bc1c58

3116112984 has 64 divisors (see below), whose sum is σ = 8661696000. Its totient is φ = 1038005280.

The previous prime is 3116112977. The next prime is 3116112997. The reversal of 3116112984 is 4892116113.

3116112984 is a `hidden beast` number, since 3 + 11 + 611 + 29 + 8 + 4 = 666.

3116112984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391557 + ... + 399435.

It is an arithmetic number, because the mean of its divisors is an integer number (135339000).

Almost surely, 23116112984 is an apocalyptic number.

It is an amenable number.

3116112984 is an abundant number, since it is smaller than the sum of its proper divisors (5545583016).

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

3116112984 is a wasteful number, since it uses less digits than its factorization.

3116112984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9725 (or 9715 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 3116112984 is about 55822.1549566120. The cubic root of 3116112984 is about 1460.6216443275.

The spelling of 3116112984 in words is "three billion, one hundred sixteen million, one hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1831 3662 5493 7324 7879 10986 14648 15758 16479 21972 23637 31516 32958 43944 47274 49437 63032 65916 70911 94548 98874 131832 141822 189096 197748 212733 283644 395496 425466 567288 850932 1701864 14426449 28852898 43279347 57705796 86558694 115411592 129838041 173117388 259676082 346234776 389514123 519352164 779028246 1038704328 1558056492 3116112984