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14616423104 = 265315128537
BaseRepresentation
bin11011001110011010…
…01110101011000000
31101201122101020002212
431213031032223000
5214413301014404
610414212401252
71025131355303
oct154715165300
941648336085
1014616423104
116220654018
1229bb016228
1314bc237a8a
149c92d6b3a
155a82e706e
hex36734eac0

14616423104 has 56 divisors (see below), whose sum is σ = 29748467808. Its totient is φ = 7122585600.

The previous prime is 14616423091. The next prime is 14616423121. The reversal of 14616423104 is 40132461641.

14616423104 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 (32).

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, 497924 + ... + 526460.

Almost surely, 214616423104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14616423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874233904).

14616423104 is an abundant number, since it is smaller than the sum of its proper divisors (15132044704).

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

14616423104 is a wasteful number, since it uses less digits than its factorization.

14616423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28753 (or 28743 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 14616423104 its reverse (40132461641), we get a palindrome (54748884745).

The spelling of 14616423104 in words is "fourteen billion, six hundred sixteen million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 151 212 302 424 604 848 1208 1696 2416 3392 4832 8003 9664 16006 28537 32012 57074 64024 114148 128048 228296 256096 456592 512192 913184 1512461 1826368 3024922 4309087 6049844 8618174 12099688 17236348 24199376 34472696 48398752 68945392 96797504 137890784 228381611 275781568 456763222 913526444 1827052888 3654105776 7308211552 14616423104