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12434769378 = 233415616427
BaseRepresentation
bin10111001010010101…
…11000010111100010
31012002121012201211000
423211022320113202
5200431300110003
65413520132430
7620100536643
oct134512702742
935077181730
1012434769378
115301115309
1224b0467116
13123225ac05
1485d6736ca
154cba011a3
hex2e52b85e2

12434769378 has 32 divisors (see below), whose sum is σ = 28306797120. Its totient is φ = 4043826720.

The previous prime is 12434769353. The next prime is 12434769407. The reversal of 12434769378 is 87396743421.

12434769378 is a `hidden beast` number, since 12 + 4 + 3 + 476 + 93 + 78 = 666.

12434769378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2806000 + ... + 2810427.

It is an arithmetic number, because the mean of its divisors is an integer number (884587410).

Almost surely, 212434769378 is an apocalyptic number.

12434769378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12434769378 is an abundant number, since it is smaller than the sum of its proper divisors (15872027742).

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

12434769378 is a wasteful number, since it uses less digits than its factorization.

12434769378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616479 (or 5616473 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 12434769378 in words is "twelve billion, four hundred thirty-four million, seven hundred sixty-nine thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 5616427 11232854 16849281 33698562 50547843 101095686 151643529 230273507 303287058 460547014 690820521 1381641042 2072461563 4144923126 6217384689 12434769378