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12919492352 = 281347151547
BaseRepresentation
bin11000000100000111…
…11100111100000000
31020100101022012201202
430002003330330000
5202424342223402
65533553320332
7635104605314
oct140203747400
936311265652
1012919492352
11552a797908
1226068660a8
1312ab7c4540
148a7badb44
1550934cb02
hex3020fcf00

12919492352 has 144 divisors (see below), whose sum is σ = 28603180032. Its totient is φ = 5786726400.

The previous prime is 12919492343. The next prime is 12919492367. The reversal of 12919492352 is 25329491921.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 12919492297 and 12919492306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23618543 + ... + 23619089.

Almost surely, 212919492352 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 12919492352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301590016).

12919492352 is an abundant number, since it is smaller than the sum of its proper divisors (15683687680).

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

12919492352 is a wasteful number, since it uses less digits than its factorization.

12919492352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 760 counting only the distinct ones).

The product of its digits is 349920, while the sum is 47.

The spelling of 12919492352 in words is "twelve billion, nine hundred nineteen million, four hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 151 188 208 256 302 376 416 547 604 611 752 832 1094 1208 1222 1504 1664 1963 2188 2416 2444 3008 3328 3926 4376 4832 4888 6016 7097 7111 7852 8752 9664 9776 12032 14194 14222 15704 17504 19328 19552 25709 28388 28444 31408 35008 38656 39104 51418 56776 56888 62816 70016 78208 82597 92261 102836 113552 113776 125632 140032 156416 165194 184522 205672 227104 227552 251264 330388 334217 369044 411344 454208 455104 502528 660776 668434 738088 822688 908416 910208 1073761 1321552 1336868 1476176 1645376 1816832 1820416 2147522 2643104 2673736 2952352 3290752 3882059 4295044 5286208 5347472 5904704 6581504 7764118 8590088 10572416 10694944 11809408 15528236 17180176 21144832 21389888 23618816 31056472 34360352 42779776 50466767 62112944 68720704 85559552 100933534 124225888 137441408 201867068 248451776 274882816 403734136 496903552 807468272 993807104 1614936544 3229873088 6459746176 12919492352