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13514021632 = 28731514789
BaseRepresentation
bin11001001010111111…
…11001101100000000
31021212211000102120201
430211133321230000
5210134042143012
610112552214544
7655614200656
oct144537715400
937784012521
1013514021632
115805349521
12275199a454
131374a26007
14922b30dd6
15541639857
hex3257f9b00

13514021632 has 72 divisors (see below), whose sum is σ = 27531617120. Its totient is φ = 6618931200.

The previous prime is 13514021627. The next prime is 13514021641. The reversal of 13514021632 is 23612041531.

13514021632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13514021632.

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, 2819494 + ... + 2824282.

Almost surely, 213514021632 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 13514021632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13765808560).

13514021632 is an abundant number, since it is smaller than the sum of its proper divisors (14017595488).

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

13514021632 is an equidigital number, since it uses as much as digits as its factorization.

13514021632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 13514021632 in words is "thirteen billion, five hundred fourteen million, twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 151 256 292 302 584 604 1168 1208 2336 2416 4672 4789 4832 9344 9578 9664 11023 18688 19156 19328 22046 38312 38656 44092 76624 88184 153248 176368 306496 349597 352736 612992 699194 705472 723139 1225984 1398388 1410944 1446278 2796776 2821888 2892556 5593552 5785112 11187104 11570224 22374208 23140448 44748416 46280896 52789147 89496832 92561792 105578294 185123584 211156588 422313176 844626352 1689252704 3378505408 6757010816 13514021632