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12474342072 = 23322574911373
BaseRepresentation
bin10111001111000011…
…10101101010111000
31012012100200020100100
423213201311222320
5201021412421242
65421452235400
7621061105143
oct134741655270
935170606310
1012474342072
115321493915
12250176bb60
13123a5050ca
14864a1505a
154d021b54c
hex2e7875ab8

12474342072 has 96 divisors (see below), whose sum is σ = 34009962480. Its totient is φ = 4130488320.

The previous prime is 12474342047. The next prime is 12474342151. The reversal of 12474342072 is 27024347421.

12474342072 is a `hidden beast` number, since 1 + 247 + 4 + 342 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 9084778 + ... + 9086150.

Almost surely, 212474342072 is an apocalyptic number.

12474342072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12474342072 is an abundant number, since it is smaller than the sum of its proper divisors (21535620408).

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

12474342072 is a wasteful number, since it uses less digits than its factorization.

12474342072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

Adding to 12474342072 its reverse (27024347421), we get a palindrome (39498689493).

The spelling of 12474342072 in words is "twelve billion, four hundred seventy-four million, three hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 491 514 771 982 1028 1373 1473 1542 1964 2056 2313 2746 2946 3084 3928 4119 4419 4626 5492 5892 6168 8238 8838 9252 10984 11784 12357 16476 17676 18504 24714 32952 35352 49428 98856 126187 252374 352861 378561 504748 674143 705722 757122 1009496 1058583 1135683 1348286 1411444 1514244 2022429 2117166 2271366 2696572 2822888 3028488 3175749 4044858 4234332 4542732 5393144 6067287 6351498 8089716 8468664 9085464 12134574 12702996 16179432 24269148 25405992 48538296 173254751 346509502 519764253 693019004 1039528506 1386038008 1559292759 2079057012 3118585518 4158114024 6237171036 12474342072