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12886207608 = 2332379461641
BaseRepresentation
bin11000000000001001…
…11110110001111000
31020021001200011122110
430000010332301320
5202342332120413
65530404052320
7634221646251
oct140004766170
936231604573
1012886207608
115512a2355a
1225b76940a0
1312a493c421
148a35c7b28
155064758c3
hex30013ec78

12886207608 has 128 divisors (see below), whose sum is σ = 34168780800. Its totient is φ = 4041523200.

The previous prime is 12886207601. The next prime is 12886207613. The reversal of 12886207608 is 80670268821.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886207601) 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, 20102968 + ... + 20103608.

It is an arithmetic number, because the mean of its divisors is an integer number (266943600).

Almost surely, 212886207608 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 12886207608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084390400).

12886207608 is an abundant number, since it is smaller than the sum of its proper divisors (21282573192).

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

12886207608 is a wasteful number, since it uses less digits than its factorization.

12886207608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 12886207608 in words is "twelve billion, eight hundred eighty-six million, two hundred seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 79 92 138 158 184 237 276 316 461 474 552 632 641 922 948 1282 1383 1817 1844 1896 1923 2564 2766 3634 3688 3846 5128 5451 5532 7268 7692 10603 10902 11064 14536 14743 15384 21206 21804 29486 31809 36419 42412 43608 44229 50639 58972 63618 72838 84824 88458 101278 109257 117944 127236 145676 151917 176916 202556 218514 254472 291352 295501 303834 353832 405112 437028 591002 607668 837637 874056 886503 1164697 1182004 1215336 1675274 1773006 2329394 2364008 2512911 3350548 3494091 3546012 4658788 5025822 6701096 6796523 6988182 7092024 9317576 10051644 13593046 13976364 20103288 20389569 23344579 27186092 27952728 40779138 46689158 54372184 70033737 81558276 93378316 140067474 163116552 186756632 280134948 536925317 560269896 1073850634 1610775951 2147701268 3221551902 4295402536 6443103804 12886207608