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12427035140 = 22513153131219
BaseRepresentation
bin10111001001011010…
…11000001000000100
31012002001122210102202
423210231120020010
5200422310111030
65413042254032
7616645025102
oct134455301004
935061583382
1012427035140
1152a7812483
1224a9957318
131230780740
1485c61cc72
154caec4745
hex2e4b58204

12427035140 has 48 divisors (see below), whose sum is σ = 28123475520. Its totient is φ = 4585299840.

The previous prime is 12427035113. The next prime is 12427035143. The reversal of 12427035140 is 4153072421.

It is not an unprimeable number, because it can be changed into a prime (12427035143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382451 + ... + 413669.

It is an arithmetic number, because the mean of its divisors is an integer number (585905740).

Almost surely, 212427035140 is an apocalyptic number.

12427035140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12427035140 is an abundant number, since it is smaller than the sum of its proper divisors (15696440380).

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

12427035140 is a wasteful number, since it uses less digits than its factorization.

12427035140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32772 (or 32770 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 12427035140 in words is "twelve billion, four hundred twenty-seven million, thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1531 3062 6124 7655 15310 19903 30620 31219 39806 62438 79612 99515 124876 156095 199030 312190 398060 405847 624380 811694 1623388 2029235 4058470 8116940 47796289 95592578 191185156 238981445 477962890 621351757 955925780 1242703514 2485407028 3106758785 6213517570 12427035140