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12537213640 = 235749191193
BaseRepresentation
bin10111010110100011…
…01011001011001000
31012100201222102220221
423223101223023020
5201134011314030
65432015555424
7622453362160
oct135321531310
935321872827
1012537213640
115353a26196
12251a82bb74
13124a549113
1486d0dd5a0
154d59d9e7a
hex2eb46b2c8

12537213640 has 64 divisors (see below), whose sum is σ = 32304562560. Its totient is φ = 4289671680.

The previous prime is 12537213613. The next prime is 12537213643. The reversal of 12537213640 is 4631273521.

12537213640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12537213596 and 12537213605.

It is not an unprimeable number, because it can be changed into a prime (12537213643) 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, 91884 + ... + 183076.

It is an arithmetic number, because the mean of its divisors is an integer number (504758790).

Almost surely, 212537213640 is an apocalyptic number.

12537213640 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 12537213640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152281280).

12537213640 is an abundant number, since it is smaller than the sum of its proper divisors (19767348920).

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

12537213640 is a wasteful number, since it uses less digits than its factorization.

12537213640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91702 (or 91698 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 12537213640 in words is "twelve billion, five hundred thirty-seven million, two hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 491 982 1964 2455 3437 3928 4910 6874 9820 13748 17185 19640 27496 34370 68740 91193 137480 182386 364772 455965 638351 729544 911930 1276702 1823860 2553404 3191755 3647720 5106808 6383510 12767020 25534040 44775763 89551526 179103052 223878815 313430341 358206104 447757630 626860682 895515260 1253721364 1567151705 1791030520 2507442728 3134303410 6268606820 12537213640