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13723072027 = 7171031119611
BaseRepresentation
bin11001100011111010…
…10111011000011011
31022102101101021210221
430301331113120123
5211101101301102
610145421020511
7664033121230
oct146175273033
938371337727
1013723072027
115902353145
1227ab9b4737
1313a912b882
149427cb787
15554b80637
hex331f5761b

13723072027 has 16 divisors (see below), whose sum is σ = 16767309312. Its totient is φ = 10963221120.

The previous prime is 13723072021. The next prime is 13723072037. The reversal of 13723072027 is 72027032731.

It is a de Polignac number, because none of the positive numbers 2k-13723072027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13723071983 and 13723072001.

It is not an unprimeable number, because it can be changed into a prime (13723072021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547549 + ... + 572062.

It is an arithmetic number, because the mean of its divisors is an integer number (1047956832).

Almost surely, 213723072027 is an apocalyptic number.

13723072027 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13723072027 is a deficient number, since it is larger than the sum of its proper divisors (3044237285).

13723072027 is a wasteful number, since it uses less digits than its factorization.

13723072027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119738.

The product of its (nonzero) digits is 24696, while the sum is 34.

The spelling of 13723072027 in words is "thirteen billion, seven hundred twenty-three million, seventy-two thousand, twenty-seven".

Divisors: 1 7 17 103 119 721 1751 12257 1119611 7837277 19033387 115319933 133233709 807239531 1960438861 13723072027