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6713739864 = 2333132639091
BaseRepresentation
bin1100100000010101…
…11000101001011000
3122022220002022201000
412100022320221120
5102222204133424
63030110425000
7325241563416
oct62012705130
918286068630
106713739864
112935805147
121374502160
1382cc09050
144799222b6
152946213c9
hex1902b8a58

6713739864 has 128 divisors (see below), whose sum is σ = 20162419200. Its totient is φ = 2057685120.

The previous prime is 6713739853. The next prime is 6713739869. The reversal of 6713739864 is 4689373176.

6713739864 is a `hidden beast` number, since 67 + 137 + 398 + 64 = 666.

It is a super-2 number, since 2×67137398642 = 90148605922925476992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6713739864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6713739869) 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 31 ways as a sum of consecutive naturals, for example, 733959 + ... + 743049.

It is an arithmetic number, because the mean of its divisors is an integer number (157518900).

Almost surely, 26713739864 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 6713739864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10081209600).

6713739864 is an abundant number, since it is smaller than the sum of its proper divisors (13448679336).

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

6713739864 is a wasteful number, since it uses less digits than its factorization.

6713739864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382 (or 9372 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 6713739864 is about 81937.4143111680. The cubic root of 6713739864 is about 1886.4914297960.

The spelling of 6713739864 in words is "six billion, seven hundred thirteen million, seven hundred thirty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 263 312 351 468 526 702 789 936 1052 1404 1578 2104 2367 2808 3156 3419 4734 6312 6838 7101 9091 9468 10257 13676 14202 18182 18936 20514 27273 27352 28404 30771 36364 41028 54546 56808 61542 72728 81819 82056 92313 109092 118183 123084 163638 184626 218184 236366 245457 246168 327276 354549 369252 472732 490914 654552 709098 738504 945464 981828 1063647 1418196 1963656 2127294 2390933 2836392 3190941 4254588 4781866 6381882 7172799 8509176 9563732 12763764 14345598 19127464 21518397 25527528 28691196 31082129 43036794 57382392 62164258 64555191 86073588 93246387 124328516 129110382 172147176 186492774 248657032 258220764 279739161 372985548 516441528 559478322 745971096 839217483 1118956644 1678434966 2237913288 3356869932 6713739864