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12944929842 = 2331323145757
BaseRepresentation
bin11000000111001001…
…11111010000110010
31020102011011120102000
430003210333100302
5203002400223332
65540302434430
7635534042145
oct140344772062
936364146360
1012944929842
115543091429
122613292a16
1312b3b5c900
148ab31205c
1550b6c4b7c
hex30393f432

12944929842 has 96 divisors (see below), whose sum is σ = 32155061760. Its totient is φ = 3854485440.

The previous prime is 12944929819. The next prime is 12944929847. The reversal of 12944929842 is 24892944921.

It is a happy number.

12944929842 is a `hidden beast` number, since 1 + 29 + 4 + 492 + 98 + 42 = 666.

It is a super-2 number, since 2×129449298422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12944929847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260028 + ... + 305784.

It is an arithmetic number, because the mean of its divisors is an integer number (334948560).

Almost surely, 212944929842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12944929842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077530880).

12944929842 is an abundant number, since it is smaller than the sum of its proper divisors (19210131918).

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

12944929842 is a wasteful number, since it uses less digits than its factorization.

12944929842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45825 (or 45806 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 12944929842 in words is "twelve billion, nine hundred forty-four million, nine hundred twenty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 169 186 234 279 338 351 403 507 558 702 806 837 1014 1209 1521 1674 2418 3042 3627 4563 5239 7254 9126 10478 10881 15717 21762 31434 45757 47151 91514 94302 137271 141453 274542 282906 411813 594841 823626 1189682 1235439 1418467 1784523 2470878 2836934 3569046 4255401 5353569 7732933 8510802 10707138 12766203 15465866 16060707 18440071 23198799 25532406 32121414 36880142 38298609 46397598 55320213 69596397 76597218 110640426 139192794 165960639 208789191 239720923 331921278 417578382 479441846 497881917 719162769 995763834 1438325538 2157488307 4314976614 6472464921 12944929842