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14254669572 = 223111364312919
BaseRepresentation
bin11010100011010010…
…01111111100000100
31100210102200020112220
431101221033330010
5213143143411242
610314251012340
71013146456263
oct152151177404
940712606486
1014254669572
116055431260
122919a3a0b0
1314622c7b30
1499324a5da
1558668abec
hex351a4ff04

14254669572 has 96 divisors (see below), whose sum is σ = 39139537920. Its totient is φ = 3980810880.

The previous prime is 14254669567. The next prime is 14254669579. The reversal of 14254669572 is 27596645241.

It is a happy number.

14254669572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14254669579) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1096929 + ... + 1109847.

It is an arithmetic number, because the mean of its divisors is an integer number (407703520).

Almost surely, 214254669572 is an apocalyptic number.

14254669572 is a gapful number since it is divisible by the number (12) 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 14254669572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19569768960).

14254669572 is an abundant number, since it is smaller than the sum of its proper divisors (24884868348).

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

14254669572 is a wasteful number, since it uses less digits than its factorization.

14254669572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13593 (or 13591 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

It can be divided in two parts, 14254669 and 572, that added together give a palindrome (14255241).

The spelling of 14254669572 in words is "fourteen billion, two hundred fifty-four million, six hundred sixty-nine thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 643 858 1286 1716 1929 2572 3858 7073 7716 8359 12919 14146 16718 21219 25077 25838 28292 33436 38757 42438 50154 51676 77514 84876 91949 100308 142109 155028 167947 183898 275847 284218 335894 367796 426327 503841 551694 568436 671788 852654 1007682 1103388 1705308 1847417 2015364 3694834 5542251 7389668 8306917 11084502 16613834 22169004 24920751 33227668 49841502 91376087 99683004 107989921 182752174 215979842 274128261 323969763 365504348 431959684 548256522 647939526 1096513044 1187889131 1295879052 2375778262 3563667393 4751556524 7127334786 14254669572