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12529613696 = 2737271503
BaseRepresentation
bin10111010101101001…
…01011101110000000
31012100012200022202112
423222310223232000
5201130040114241
65431145034452
7622331646665
oct135264535600
935305608675
1012529613696
11534a705246
122518185a28
131248ab7b02
1486c0c1a6c
154d4ed81eb
hex2ead2bb80

12529613696 has 48 divisors (see below), whose sum is σ = 25654562640. Its totient is φ = 6095402496.

The previous prime is 12529613693. The next prime is 12529613711. The reversal of 12529613696 is 69631692521.

12529613696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12529613693) 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 5 ways as a sum of consecutive naturals, for example, 139481 + ... + 210983.

It is an arithmetic number, because the mean of its divisors is an integer number (534470055).

Almost surely, 212529613696 is an apocalyptic number.

12529613696 is a gapful number since it is divisible by the number (16) 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 12529613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12827281320).

12529613696 is an abundant number, since it is smaller than the sum of its proper divisors (13124948944).

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

12529613696 is an frugal number, since it uses more digits than its factorization.

12529613696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71591 (or 71542 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 50.

The spelling of 12529613696 in words is "twelve billion, five hundred twenty-nine million, six hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 1369 2368 2738 4736 5476 10952 21904 43808 71503 87616 143006 175232 286012 572024 1144048 2288096 2645611 4576192 5291222 9152384 10582444 21164888 42329776 84659552 97887607 169319104 195775214 338638208 391550428 783100856 1566201712 3132403424 6264806848 12529613696