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14742935296 = 28177147713
BaseRepresentation
bin11011011101011111…
…10101011100000000
31102001110102201012121
431232233311130000
5220143142412141
610434532134024
71031225611435
oct155657653400
942043381177
1014742935296
116286003551
122a35467314
13150c501b6b
149dc029b8c
155b44871d1
hex36ebf5700

14742935296 has 72 divisors (see below), whose sum is σ = 31598882784. Its totient is φ = 6839992320.

The previous prime is 14742935269. The next prime is 14742935303. The reversal of 14742935296 is 69253924741.

It is a super-2 number, since 2×147429352962 (a number of 21 digits) contains 22 as substring.

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, 285136 + ... + 332848.

It is an arithmetic number, because the mean of its divisors is an integer number (438873372).

Almost surely, 214742935296 is an apocalyptic number.

14742935296 is a gapful number since it is divisible by the number (16) 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 14742935296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799441392).

14742935296 is an abundant number, since it is smaller than the sum of its proper divisors (16855947488).

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

14742935296 is an equidigital number, since it uses as much as digits as its factorization.

14742935296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47817 (or 47803 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The spelling of 14742935296 in words is "fourteen billion, seven hundred forty-two million, nine hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 136 142 256 272 284 544 568 1088 1136 1207 2176 2272 2414 4352 4544 4828 9088 9656 18176 19312 38624 47713 77248 95426 154496 190852 308992 381704 763408 811121 1526816 1622242 3053632 3244484 3387623 6107264 6488968 6775246 12214528 12977936 13550492 25955872 27100984 51911744 54201968 57589591 103823488 108403936 115179182 207646976 216807872 230358364 433615744 460716728 867231488 921433456 1842866912 3685733824 7371467648 14742935296