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3130785768 = 2331113190527
BaseRepresentation
bin1011101010011011…
…1111111111101000
322002012010101200110
42322212333333220
522402440121033
61234355334320
7140404145205
oct27246777750
98065111613
103130785768
111367279760
127345b13a0
133ab816876
14219b2ccac
15134cca363
hexba9bffe8

3130785768 has 64 divisors (see below), whose sum is σ = 8603781120. Its totient is φ = 941470400.

The previous prime is 3130785727. The next prime is 3130785793. The reversal of 3130785768 is 8675870313.

It is a super-2 number, since 2×31307857682 = 19603639050222699648, which contains 22 as substring.

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, 10680 + ... + 79847.

It is an arithmetic number, because the mean of its divisors is an integer number (134434080).

Almost surely, 23130785768 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 3130785768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301890560).

3130785768 is an abundant number, since it is smaller than the sum of its proper divisors (5472995352).

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

3130785768 is a wasteful number, since it uses less digits than its factorization.

3130785768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90678 (or 90674 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 3130785768 is about 55953.4249890031. The cubic root of 3130785768 is about 1462.9105895469.

The spelling of 3130785768 in words is "three billion, one hundred thirty million, seven hundred eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 2882 3144 4323 5764 8646 11528 17292 34584 90527 181054 271581 362108 543162 724216 995797 1086324 1991594 2172648 2987391 3983188 5974782 7966376 11859037 11949564 23718074 23899128 35577111 47436148 71154222 94872296 130449407 142308444 260898814 284616888 391348221 521797628 782696442 1043595256 1565392884 3130785768