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12861880064 = 281119421571
BaseRepresentation
bin10111111101010000…
…01011011100000000
31020012100220012112022
423332220023130000
5202320120130224
65524134421012
7633505114415
oct137650133400
936170805468
1012861880064
115500217950
1225ab501768
13129c8a2327
148a029410c
1550426c65e
hex2fea0b700

12861880064 has 144 divisors (see below), whose sum is σ = 29603333760. Its totient is φ = 5515776000.

The previous prime is 12861880049. The next prime is 12861880079. The reversal of 12861880064 is 46008816821.

It is an interprime number because it is at equal distance from previous prime (12861880049) and next prime (12861880079).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 12861879997 and 12861880024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22524899 + ... + 22525469.

Almost surely, 212861880064 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 12861880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14801666880).

12861880064 is an abundant number, since it is smaller than the sum of its proper divisors (16741453696).

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

12861880064 is a wasteful number, since it uses less digits than its factorization.

12861880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 12861880064 in words is "twelve billion, eight hundred sixty-one million, eight hundred eighty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 421 571 608 704 836 842 1142 1216 1408 1672 1684 2284 2432 2816 3344 3368 4568 4631 4864 6281 6688 6736 7999 9136 9262 10849 12562 13376 13472 15998 18272 18524 21698 25124 26752 26944 31996 36544 37048 43396 50248 53504 53888 63992 73088 74096 86792 87989 100496 107776 119339 127984 146176 148192 173584 175978 200992 238678 240391 255968 296384 347168 351956 401984 477356 480782 511936 592768 694336 703912 803968 954712 961564 1023872 1185536 1388672 1407824 1607936 1909424 1923128 2047744 2644301 2777344 2815648 3818848 3846256 4567429 5288602 5631296 7637696 7692512 9134858 10577204 11262592 15275392 15385024 18269716 21154408 22525184 30550784 30770048 36539432 42308816 50241719 61540096 73078864 84617632 100483438 146157728 169235264 200966876 292315456 338470528 401933752 584630912 676941056 803867504 1169261824 1607735008 3215470016 6430940032 12861880064