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15145314612 = 2232965966041
BaseRepresentation
bin11100001101011101…
…10010100100110100
31110002111120200212020
432012232302210310
5222004200031422
610542504353140
71044213023121
oct160656624464
943074520766
1015145314612
11647215403a
122b281757b0
13157499742c
14a3964d748
155d996a95c
hex386bb2934

15145314612 has 48 divisors (see below), whose sum is σ = 36613684800. Its totient is φ = 4866883840.

The previous prime is 15145314601. The next prime is 15145314619. The reversal of 15145314612 is 21641354151.

15145314612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15145314619) 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 15 ways as a sum of consecutive naturals, for example, 196312 + ... + 262352.

It is an arithmetic number, because the mean of its divisors is an integer number (762785100).

Almost surely, 215145314612 is an apocalyptic number.

15145314612 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 15145314612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306842400).

15145314612 is an abundant number, since it is smaller than the sum of its proper divisors (21468370188).

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

15145314612 is a wasteful number, since it uses less digits than its factorization.

15145314612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66736 (or 66734 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

Adding to 15145314612 its reverse (21641354151), we get a palindrome (36786668763).

The spelling of 15145314612 in words is "fifteen billion, one hundred forty-five million, three hundred fourteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 659 1318 1977 2636 3954 7908 19111 38222 57333 66041 76444 114666 132082 198123 229332 264164 396246 792492 1915189 3830378 5745567 7660756 11491134 22982268 43521019 87042038 130563057 174084076 261126114 522252228 1262109551 2524219102 3786328653 5048438204 7572657306 15145314612