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6461852264 = 2372149317349
BaseRepresentation
bin1100000010010100…
…00000101001101000
3121200100010002212122
412001022000221220
5101213213233024
62545111530412
7316062560300
oct60112005150
917610102778
106461852264
11281660227a
121304089a08
137bc98542a
144542b4600
1527c467d5e
hex181280a68

6461852264 has 96 divisors (see below), whose sum is σ = 14274225000. Its totient is φ = 2734244352.

The previous prime is 6461852251. The next prime is 6461852281. The reversal of 6461852264 is 4622581646.

It can be written as a sum of positive squares in 4 ways, for example, as 3380492164 + 3081360100 = 58142^2 + 55510^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18515162 + ... + 18515510.

Almost surely, 26461852264 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 6461852264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137112500).

6461852264 is an abundant number, since it is smaller than the sum of its proper divisors (7812372736).

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

6461852264 is a wasteful number, since it uses less digits than its factorization.

6461852264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 824 counting only the distinct ones).

The product of its digits is 552960, while the sum is 44.

The square root of 6461852264 is about 80385.6471268348. The cubic root of 6461852264 is about 1862.5974678299.

The spelling of 6461852264 in words is "six billion, four hundred sixty-one million, eight hundred fifty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 149 196 298 317 349 392 596 634 698 1043 1192 1268 1396 2086 2219 2443 2536 2792 4172 4438 4886 7301 8344 8876 9772 14602 15533 17101 17752 19544 29204 31066 34202 47233 52001 58408 62132 68404 94466 104002 110633 124264 136808 188932 208004 221266 330631 364007 377864 416008 442532 661262 728014 774431 885064 1322524 1456028 1548862 2314417 2548049 2645048 2912056 3097724 4628834 5096098 5421017 6195448 9257668 10192196 10842034 16484317 18515336 20384392 21684068 32968634 43368136 65937268 115390219 131874536 230780438 461560876 807731533 923121752 1615463066 3230926132 6461852264