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677095964712 = 233243590337049
BaseRepresentation
bin10011101101001100001…
…00001000000000101000
32101201200222111211222200
421312212010020000220
542043143031332322
61235015324220200
766630032511306
oct11664604100050
92351628454880
10677095964712
11241178024a12
12ab28609a660
134bb0823a93b
1424ab3477276
151292d4018ac
hex9da6108028

677095964712 has 96 divisors (see below), whose sum is σ = 1876816656000. Its totient is φ = 220406554368.

The previous prime is 677095964689. The next prime is 677095964719. The reversal of 677095964712 is 217469590776.

677095964712 is a `hidden beast` number, since 6 + 7 + 70 + 9 + 5 + 96 + 471 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 677095964712.

It is not an unprimeable number, because it can be changed into a prime (677095964719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18257164 + ... + 18294212.

It is an arithmetic number, because the mean of its divisors is an integer number (19550173500).

Almost surely, 2677095964712 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 677095964712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938408328000).

677095964712 is an abundant number, since it is smaller than the sum of its proper divisors (1199720691288).

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

677095964712 is a wasteful number, since it uses less digits than its factorization.

677095964712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43007 (or 43000 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 677095964712 in words is "six hundred seventy-seven billion, ninety-five million, nine hundred sixty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 5903 11806 17709 23612 35418 37049 47224 53127 70836 74098 106254 111147 141672 148196 212508 222294 253829 296392 333441 425016 444588 507658 666882 761487 889176 1015316 1333764 1522974 1593107 2030632 2284461 2667528 3045948 3186214 4568922 4779321 6091896 6372428 9137844 9558642 12744856 14337963 18275688 19117284 28675926 38234568 57351852 114703704 218700247 437400494 656100741 874800988 1312201482 1749601976 1968302223 2624402964 3936604446 5248805928 7873208892 9404110621 15746417784 18808221242 28212331863 37616442484 56424663726 75232884968 84636995589 112849327452 169273991178 225698654904 338547982356 677095964712