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12740578272 = 253244238119
BaseRepresentation
bin10111101110110010…
…11100101111100000
31012212220122102202100
423313121130233200
5202043042001042
65504122450400
7630503062032
oct136731345740
935786572670
1012740578272
1154487a7034
122576963a00
131280710a16
1488c119c52
154e87ab24c
hex2f765cbe0

12740578272 has 36 divisors (see below), whose sum is σ = 36231020280. Its totient is φ = 4246859328.

The previous prime is 12740578271. The next prime is 12740578273. The reversal of 12740578272 is 27287504721.

12740578272 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 0 + 578 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (12740578271) and next prime (12740578273).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12740578271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22118772 + ... + 22119347.

It is an arithmetic number, because the mean of its divisors is an integer number (1006417230).

Almost surely, 212740578272 is an apocalyptic number.

12740578272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12740578272 is an abundant number, since it is smaller than the sum of its proper divisors (23490442008).

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

12740578272 is a wasteful number, since it uses less digits than its factorization.

12740578272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44238135 (or 44238124 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 12740578272 in words is "twelve billion, seven hundred forty million, five hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44238119 88476238 132714357 176952476 265428714 353904952 398143071 530857428 707809904 796286142 1061714856 1415619808 1592572284 2123429712 3185144568 4246859424 6370289136 12740578272