Search a number
-
+
1322086428672 = 2123313470699
BaseRepresentation
bin10011001111010010011…
…111011111000000000000
311200101112110212021112220
4103033102133133000000
5133130113111204142
62451205204251040
7164342351136612
oct23172237370000
94611473767486
101322086428672
1146a76a35aa29
121942900a0a80
1397897b1a949
1447dbc9c6db2
15245cce272ec
hex133d27df000

1322086428672 has 104 divisors (see below), whose sum is σ = 3638848473600. Its totient is φ = 426479370240.

The previous prime is 1322086428667. The next prime is 1322086428727. The reversal of 1322086428672 is 2768246802231.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 1354422 + ... + 2116277.

Almost surely, 21322086428672 is an apocalyptic number.

1322086428672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1322086428672 is an abundant number, since it is smaller than the sum of its proper divisors (2316762044928).

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

1322086428672 is an equidigital number, since it uses as much as digits as its factorization.

1322086428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470757 (or 3470735 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 1322086428672 in words is "one trillion, three hundred twenty-two billion, eighty-six million, four hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 4096 5952 6144 7936 11904 12288 15872 23808 31744 47616 63488 95232 126976 190464 380928 3470699 6941398 10412097 13882796 20824194 27765592 41648388 55531184 83296776 107591669 111062368 166593552 215183338 222124736 322775007 333187104 430366676 444249472 645550014 666374208 860733352 888498944 1291100028 1332748416 1721466704 1776997888 2582200056 2665496832 3442933408 3553995776 5164400112 5330993664 6885866816 7107991552 10328800224 10661987328 13771733632 14215983104 20657600448 21323974656 27543467264 41315200896 42647949312 55086934528 82630401792 110173869056 165260803584 220347738112 330521607168 440695476224 661043214336 1322086428672