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12527929140 = 22351036013373
BaseRepresentation
bin10111010101011100…
…10000011100110100
31012100002111201222120
423222232100130310
5201124122213030
65431044555540
7622311432516
oct135256203464
935302451876
1012527929140
115349764651
1225176b2bb0
13124864812c
1486bba3bb6
154d4ca4010
hex2eab90734

12527929140 has 96 divisors (see below), whose sum is σ = 35488217856. Its totient is φ = 3301862400.

The previous prime is 12527929121. The next prime is 12527929147. The reversal of 12527929140 is 4192972521.

12527929140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125279291402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12527929092 and 12527929101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12527929147) 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, 3712494 + ... + 3715866.

It is an arithmetic number, because the mean of its divisors is an integer number (369668936).

Almost surely, 212527929140 is an apocalyptic number.

12527929140 is a gapful number since it is divisible by the number (10) 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 12527929140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744108928).

12527929140 is an abundant number, since it is smaller than the sum of its proper divisors (22960288716).

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

12527929140 is a wasteful number, since it uses less digits than its factorization.

12527929140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 12527929140 in words is "twelve billion, five hundred twenty-seven million, nine hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 601 618 1030 1202 1236 1545 1803 2060 2404 3005 3090 3373 3606 6010 6180 6746 7212 9015 10119 12020 13492 16865 18030 20238 33730 36060 40476 50595 61903 67460 101190 123806 185709 202380 247612 309515 347419 371418 619030 694838 742836 928545 1042257 1238060 1389676 1737095 1857090 2027173 2084514 3474190 3714180 4054346 4169028 5211285 6081519 6948380 8108692 10135865 10422570 12163038 20271730 20845140 24326076 30407595 40543460 60815190 121630380 208798819 417597638 626396457 835195276 1043994095 1252792914 2087988190 2505585828 3131982285 4175976380 6263964570 12527929140