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13036707072 = 283225122543
BaseRepresentation
bin11000010010000110…
…00101110100000000
31020122112212100002200
430021003011310000
5203144344111242
65553341513200
7641030116224
oct141103056400
936575770080
1013036707072
11558a976a84
122639b72800
1312c9b8476c
148b95a2784
155147a304c
hex3090c5d00

13036707072 has 108 divisors (see below), whose sum is σ = 37739467584. Its totient is φ = 4328064000.

The previous prime is 13036707071. The next prime is 13036707113. The reversal of 13036707072 is 27070763031.

It is a super-2 number, since 2×130367070722 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13036707071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567033 + ... + 589575.

Almost surely, 213036707072 is an apocalyptic number.

13036707072 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 13036707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869733792).

13036707072 is an abundant number, since it is smaller than the sum of its proper divisors (24702760512).

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

13036707072 is a wasteful number, since it uses less digits than its factorization.

13036707072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22816 (or 22799 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 13036707072 in words is "thirteen billion, thirty-six million, seven hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 251 256 288 384 502 576 753 768 1004 1152 1506 2008 2259 2304 3012 4016 4518 6024 8032 9036 12048 16064 18072 22543 24096 32128 36144 45086 48192 64256 67629 72288 90172 96384 135258 144576 180344 192768 202887 270516 289152 360688 405774 541032 578304 721376 811548 1082064 1442752 1623096 2164128 2885504 3246192 4328256 5658293 5771008 6492384 8656512 11316586 12984768 16974879 17313024 22633172 25969536 33949758 45266344 50924637 51939072 67899516 90532688 101849274 135799032 181065376 203698548 271598064 362130752 407397096 543196128 724261504 814794192 1086392256 1448523008 1629588384 2172784512 3259176768 4345569024 6518353536 13036707072