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12537027072 = 293633589
BaseRepresentation
bin10111010110100001…
…11101101000000000
31012100201121222000000
423223100331220000
5201133434331242
65432012000000
7622451654223
oct135320755000
935321558000
1012537027072
115353908aa9
12251a760000
13124a4b221b
1486d0915ba
154d599ea4c
hex2eb43da00

12537027072 has 140 divisors (see below), whose sum is σ = 37558289010. Its totient is φ = 4178884608.

The previous prime is 12537027071. The next prime is 12537027131. The reversal of 12537027072 is 27072073521.

12537027072 is a `hidden beast` number, since 1 + 253 + 70 + 270 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6951557376 + 5585469696 = 83376^2 + 74736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12537027071) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 356454 + ... + 390042.

Almost surely, 212537027072 is an apocalyptic number.

12537027072 is a gapful number since it is divisible by the number (12) 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 12537027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18779144505).

12537027072 is an abundant number, since it is smaller than the sum of its proper divisors (25021261938).

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

12537027072 is an frugal number, since it uses more digits than its factorization.

12537027072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33625 (or 33594 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 12537027072 in words is "twelve billion, five hundred thirty-seven million, twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 15552 20736 23328 31104 33589 41472 46656 62208 67178 93312 100767 124416 134356 186624 201534 268712 302301 373248 403068 537424 604602 806136 906903 1074848 1209204 1612272 1813806 2149696 2418408 2720709 3224544 3627612 4299392 4836816 5441418 6449088 7255224 8162127 8598784 9673632 10882836 12898176 14510448 16324254 17197568 19347264 21765672 24486381 25796352 29020896 32648508 38694528 43531344 48972762 51592704 58041792 65297016 77389056 87062688 97945524 116083584 130594032 154778112 174125376 195891048 232167168 261188064 348250752 391782096 464334336 522376128 696501504 783564192 1044752256 1393003008 1567128384 2089504512 3134256768 4179009024 6268513536 12537027072