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12540729870 = 23251087128189
BaseRepresentation
bin10111010110111110…
…00101101000001110
31012100222121002021200
423223133011220032
5201140411323440
65432223210330
7622525305444
oct135337055016
935328532250
1012540729870
115355a07a69
12251ba469a6
13124b1aa726
1486d776b94
154d5e81c30
hex2eb7c5a0e

12540729870 has 48 divisors (see below), whose sum is σ = 32636148480. Its totient is φ = 3341092032.

The previous prime is 12540729827. The next prime is 12540729907. The reversal of 12540729870 is 7892704521.

It is a happy number.

12540729870 is a `hidden beast` number, since 1 + 2 + 540 + 7 + 29 + 87 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33736 + ... + 161924.

It is an arithmetic number, because the mean of its divisors is an integer number (679919760).

Almost surely, 212540729870 is an apocalyptic number.

12540729870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12540729870 is an abundant number, since it is smaller than the sum of its proper divisors (20095418610).

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

12540729870 is a wasteful number, since it uses less digits than its factorization.

12540729870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129289 (or 129286 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12540729870 in words is "twelve billion, five hundred forty million, seven hundred twenty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1087 2174 3261 5435 6522 9783 10870 16305 19566 32610 48915 97830 128189 256378 384567 640945 769134 1153701 1281890 1922835 2307402 3845670 5768505 11537010 139341443 278682886 418024329 696707215 836048658 1254072987 1393414430 2090121645 2508145974 4180243290 6270364935 12540729870