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12674510420 = 225112133791063
BaseRepresentation
bin10111100110111010…
…11010111001010100
31012201022022211200212
423303131122321110
5201424133313140
65453402424552
7626041363265
oct136335327124
935638284625
1012674510420
115414481300
122558802158
13126cb1ac10
1488343c96c
154e2aaa765
hex2f375ae54

12674510420 has 144 divisors (see below), whose sum is σ = 31619441280. Its totient is φ = 4239164160.

The previous prime is 12674510371. The next prime is 12674510423. The reversal of 12674510420 is 2401547621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12674510423) 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, 11922809 + ... + 11923871.

Almost surely, 212674510420 is an apocalyptic number.

12674510420 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 12674510420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809720640).

12674510420 is an abundant number, since it is smaller than the sum of its proper divisors (18944930860).

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

12674510420 is a wasteful number, since it uses less digits than its factorization.

12674510420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 12674510420 in words is "twelve billion, six hundred seventy-four million, five hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 379 484 572 605 715 758 1063 1210 1430 1516 1573 1895 2126 2420 2860 3146 3790 4169 4252 4927 5315 6292 7580 7865 8338 9854 10630 11693 13819 15730 16676 19708 20845 21260 23386 24635 27638 31460 41690 45859 46772 49270 54197 55276 58465 69095 83380 91718 98540 108394 116930 128623 138190 152009 183436 216788 229295 233860 257246 270985 276380 304018 402877 458590 514492 541970 596167 608036 643115 760045 805754 917180 1083940 1192334 1286230 1520090 1611508 1672099 2014385 2384668 2572460 2980835 3040180 3344198 4028770 4431647 5237401 5961670 6688396 8057540 8360495 8863294 10474802 11923340 16720990 17726588 20949604 22158235 26187005 33441980 44316470 48748117 52374010 57611411 88632940 97496234 104748020 115222822 194992468 230445644 243740585 288057055 487481170 576114110 633725521 974962340 1152228220 1267451042 2534902084 3168627605 6337255210 12674510420