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13514530512 = 243748782591
BaseRepresentation
bin11001001011000011…
…10101111011010000
31021212211222021122010
430211201311323100
5210134204434022
610113011142520
7655621420410
oct144541657320
937784867563
1013514530512
11580566688a
122751ba4a40
131374b73822
14922c24640
155416da50c
hex325875ed0

13514530512 has 80 divisors (see below), whose sum is σ = 39982456832. Its totient is φ = 3853319040.

The previous prime is 13514530481. The next prime is 13514530543. The reversal of 13514530512 is 21503541531.

13514530512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13514530481) and next prime (13514530543).

It is a self number, because there is not a number n which added to its sum of digits gives 13514530512.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 122337 + ... + 204927.

Almost surely, 213514530512 is an apocalyptic number.

13514530512 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 13514530512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19991228416).

13514530512 is an abundant number, since it is smaller than the sum of its proper divisors (26467926320).

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

13514530512 is a wasteful number, since it uses less digits than its factorization.

13514530512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83096 (or 83090 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 13514530512 in words is "thirteen billion, five hundred fourteen million, five hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 487 974 1461 1948 2922 3409 3896 5844 6818 7792 10227 11688 13636 20454 23376 27272 40908 54544 81816 82591 163632 165182 247773 330364 495546 578137 660728 991092 1156274 1321456 1734411 1982184 2312548 3468822 3964368 4625096 6937644 9250192 13875288 27750576 40221817 80443634 120665451 160887268 241330902 281552719 321774536 482661804 563105438 643549072 844658157 965323608 1126210876 1689316314 1930647216 2252421752 3378632628 4504843504 6757265256 13514530512