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12783630471144 = 233131916927127399
BaseRepresentation
bin1011101000000110101111…
…0000001100111111101000
31200021002210012001121200120
42322001223300030333220
53133421333400034034
643104415130403240
72456405165062431
oct272015360147750
950232705047616
1012783630471144
114089564150255
121525677b90520
1371965017ccc0
14322a33ca0488
151727e9076c49
hexba06bc0cfe8

12783630471144 has 128 divisors (see below), whose sum is σ = 36231336960000. Its totient is φ = 3726153010944.

The previous prime is 12783630471137. The next prime is 12783630471149. The reversal of 12783630471144 is 44117403638721.

12783630471144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127836304711442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12783630471149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100279557 + ... + 100406955.

It is an arithmetic number, because the mean of its divisors is an integer number (283057320000).

Almost surely, 212783630471144 is an apocalyptic number.

It is an amenable number.

12783630471144 is an abundant number, since it is smaller than the sum of its proper divisors (23447706488856).

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

12783630471144 is a wasteful number, since it uses less digits than its factorization.

12783630471144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144367 (or 144363 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 12783630471144 in words is "twelve trillion, seven hundred eighty-three billion, six hundred thirty million, four hundred seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 16927 33854 50781 67708 101562 127399 135416 203124 220051 254798 321613 382197 406248 440102 509596 643226 660153 764394 880204 964839 1019192 1286452 1320306 1528788 1656187 1760408 1929678 2420581 2572904 2640612 3057576 3312374 3859356 4180969 4841162 4968561 5281224 6624748 7261743 7718712 8361938 9682324 9937122 12542907 13249496 14523486 16723876 19364648 19874244 25085814 29046972 31467553 33447752 39748488 50171628 58093944 62935106 94402659 100343256 125870212 188805318 251740424 377610636 755221272 2156482873 4312965746 6469448619 8625931492 12938897238 17251862984 25877794476 28034277349 40973174587 51755588952 56068554698 81946349174 84102832047 112137109396 122919523761 163892698348 168205664094 224274218792 245839047522 327785396696 336411328188 491678095044 532651269631 672822656376 983356190088 1065302539262 1597953808893 2130605078524 3195907617786 4261210157048 6391815235572 12783630471144