Search a number
-
+
12242143936 = 261173923531
BaseRepresentation
bin10110110011011000…
…00100101011000000
31011121011202100101101
423121230010223000
5200032442101221
65342435344144
7612241335511
oct133154045300
934534670341
1012242143936
115212409a30
122457a52054
131201386469
14841c50a08
154b9b51d91
hex2d9b04ac0

12242143936 has 56 divisors (see below), whose sum is σ = 26538448320. Its totient is φ = 5556844800.

The previous prime is 12242143933. The next prime is 12242143937. The reversal of 12242143936 is 63934124221.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12242143895 and 12242143904.

It is not an unprimeable number, because it can be changed into a prime (12242143933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508491 + ... + 532021.

Almost surely, 212242143936 is an apocalyptic number.

12242143936 is a gapful number since it is divisible by the number (16) 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 12242143936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269224160).

12242143936 is an abundant number, since it is smaller than the sum of its proper divisors (14296304384).

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

12242143936 is a wasteful number, since it uses less digits than its factorization.

12242143936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24293 (or 24283 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The spelling of 12242143936 in words is "twelve billion, two hundred forty-two million, one hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 739 1478 2956 5912 8129 11824 16258 23531 23648 32516 47062 47296 65032 94124 130064 188248 258841 260128 376496 517682 520256 752992 1035364 1505984 2070728 4141456 8282912 16565824 17389409 34778818 69557636 139115272 191283499 278230544 382566998 556461088 765133996 1112922176 1530267992 3060535984 6121071968 12242143936