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14742415616 = 282313918013
BaseRepresentation
bin11011011101011011…
…10110100100000000
31102001102110022100012
431232231312210000
5220143024244431
610434513044052
71031221315355
oct155655664400
942042408305
1014742415616
116285789065
122a35256628
13150c37c466
149dbd3262c
155b43d322b
hex36eb76900

14742415616 has 72 divisors (see below), whose sum is σ = 30929317440. Its totient is φ = 6999607296.

The previous prime is 14742415579. The next prime is 14742415621. The reversal of 14742415616 is 61651424741.

14742415616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 809426 + ... + 827438.

Almost surely, 214742415616 is an apocalyptic number.

14742415616 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 14742415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464658720).

14742415616 is an abundant number, since it is smaller than the sum of its proper divisors (16186901824).

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

14742415616 is a wasteful number, since it uses less digits than its factorization.

14742415616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18191 (or 18177 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The spelling of 14742415616 in words is "fourteen billion, seven hundred forty-two million, four hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 139 184 256 278 368 556 736 1112 1472 2224 2944 3197 4448 5888 6394 8896 12788 17792 18013 25576 35584 36026 51152 72052 102304 144104 204608 288208 409216 414299 576416 818432 828598 1152832 1657196 2305664 2503807 3314392 4611328 5007614 6628784 10015228 13257568 20030456 26515136 40060912 53030272 57587561 80121824 106060544 115175122 160243648 230350244 320487296 460700488 640974592 921400976 1842801952 3685603904 7371207808 14742415616