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12769948500 = 2235336723197
BaseRepresentation
bin10111110010010010…
…11111001101010100
31012221221220121010120
423321021133031110
5202123101323000
65511052151540
7631310525361
oct137111371524
935857817116
1012769948500
115463337351
1225847685b0
13128682515a
14891da3468
154eb15d6a0
hex2f925f354

12769948500 has 96 divisors (see below), whose sum is σ = 37289021952. Its totient is φ = 3395894400.

The previous prime is 12769948423. The next prime is 12769948553. The reversal of 12769948500 is 584996721.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538902 + ... + 562098.

It is an arithmetic number, because the mean of its divisors is an integer number (388427312).

Almost surely, 212769948500 is an apocalyptic number.

12769948500 is a gapful number since it is divisible by the number (10) 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 12769948500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18644510976).

12769948500 is an abundant number, since it is smaller than the sum of its proper divisors (24519073452).

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

12769948500 is a wasteful number, since it uses less digits than its factorization.

12769948500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23586 (or 23574 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 12769948500 in words is "twelve billion, seven hundred sixty-nine million, nine hundred forty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 367 375 500 734 750 1101 1468 1500 1835 2202 3670 4404 5505 7340 9175 11010 18350 22020 23197 27525 36700 45875 46394 55050 69591 91750 92788 110100 115985 137625 139182 183500 231970 275250 278364 347955 463940 550500 579925 695910 1159850 1391820 1739775 2319700 2899625 3479550 5799250 6959100 8513299 8698875 11598500 17026598 17397750 25539897 34053196 34795500 42566495 51079794 85132990 102159588 127699485 170265980 212832475 255398970 425664950 510797940 638497425 851329900 1064162375 1276994850 2128324750 2553989700 3192487125 4256649500 6384974250 12769948500