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12988246544 = 247313307593
BaseRepresentation
bin11000001100010100…
…01110101000010000
31020112011200021202022
430012022032220100
5203044442342134
65544451111012
7636601163000
oct140612165020
936464607668
1012988246544
115565587959
1226258a2468
1312bcb17cb0
148b2d8a000
155103ce52e
hex30628ea10

12988246544 has 160 divisors (see below), whose sum is σ = 31760467200. Its totient is φ = 5112834048.

The previous prime is 12988246529. The next prime is 12988246561. The reversal of 12988246544 is 44564288921.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21902312 + ... + 21902904.

It is an arithmetic number, because the mean of its divisors is an integer number (198502920).

Almost surely, 212988246544 is an apocalyptic number.

12988246544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12988246544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880233600).

12988246544 is an abundant number, since it is smaller than the sum of its proper divisors (18772220656).

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

12988246544 is a wasteful number, since it uses less digits than its factorization.

12988246544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 922 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 53.

The spelling of 12988246544 in words is "twelve billion, nine hundred eighty-eight million, two hundred forty-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 307 343 364 392 593 614 637 686 728 784 1186 1228 1274 1372 1456 2149 2372 2456 2548 2744 3991 4151 4298 4459 4744 4912 5096 5488 7709 7982 8302 8596 8918 9488 10192 15043 15418 15964 16604 17192 17836 27937 29057 30086 30836 31928 33208 34384 35672 53963 55874 58114 60172 61672 63856 66416 71344 105301 107926 111748 116228 120344 123344 182051 195559 203399 210602 215852 223496 232456 240688 364102 377741 391118 406798 421204 431704 446992 464912 728204 755482 782236 813596 842408 863408 1274357 1368913 1456408 1510964 1564472 1627192 1684816 2366663 2548714 2644187 2737826 2912816 3021928 3128944 3254384 4733326 5097428 5288374 5475652 6043856 8920499 9466652 10194856 10576748 10951304 16566641 17840998 18933304 20389712 21153496 21902608 33133282 35681996 37866608 42306992 62443493 66266564 71363992 115966487 124886986 132533128 142727984 231932974 249773972 265066256 463865948 499547944 811765409 927731896 999095888 1623530818 1855463792 3247061636 6494123272 12988246544