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6813628068 = 223132913111497
BaseRepresentation
bin1100101100001111…
…11011011010100100
3122120212001011120010
412112013323122210
5102423242044233
63044035410220
7330563611602
oct62607733244
918525034503
106813628068
11298712a685
1213a1a53970
138478109b0
14488cc4872
1529d2a2b63
hex1961fb6a4

6813628068 has 96 divisors (see below), whose sum is σ = 17848575360. Its totient is φ = 2008581120.

The previous prime is 6813628061. The next prime is 6813628093. The reversal of 6813628068 is 8608263186.

It is not an unprimeable number, because it can be changed into a prime (6813628061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586896 + ... + 598392.

It is an arithmetic number, because the mean of its divisors is an integer number (185922660).

Almost surely, 26813628068 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 6813628068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8924287680).

6813628068 is an abundant number, since it is smaller than the sum of its proper divisors (11034947292).

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

6813628068 is a wasteful number, since it uses less digits than its factorization.

6813628068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11677 (or 11675 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 6813628068 is about 82544.7034521295. The cubic root of 6813628068 is about 1895.8012607921.

The spelling of 6813628068 in words is "six billion, eight hundred thirteen million, six hundred twenty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 131 156 174 262 348 377 393 524 754 786 1131 1508 1572 1703 2262 3406 3799 4524 5109 6812 7598 10218 11397 11497 15196 20436 22794 22994 34491 45588 45988 49387 68982 98774 137964 148161 149461 197548 296322 298922 333413 448383 592644 597844 666826 896766 1000239 1333652 1506107 1793532 2000478 3012214 4000956 4334369 4518321 6024428 8668738 9036642 13003107 17337476 18073284 19579391 26006214 39158782 43677103 52012428 58738173 78317564 87354206 117476346 131031309 174708412 234952692 262062618 524125236 567802339 1135604678 1703407017 2271209356 3406814034 6813628068