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18906972714 = 23272109719541
BaseRepresentation
bin10001100110111100…
…011000001000101010
31210210122210201200200
4101212330120020222
5302210141111324
612404042013030
71236350421300
oct214674301052
953718721620
1018906972714
118022547493
1237b7aa7176
131a240c8926
14cb5080270
15759d10ec9
hex466f1822a

18906972714 has 72 divisors (see below), whose sum is σ = 47699168868. Its totient is φ = 5396791680.

The previous prime is 18906972703. The next prime is 18906972719. The reversal of 18906972714 is 41727960981.

It can be written as a sum of positive squares in 2 ways, for example, as 17810237025 + 1096735689 = 133455^2 + 33117^2 .

It is not an unprimeable number, because it can be changed into a prime (18906972719) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 957784 + ... + 977324.

Almost surely, 218906972714 is an apocalyptic number.

18906972714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18906972714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23849584434).

18906972714 is an abundant number, since it is smaller than the sum of its proper divisors (28792196154).

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

18906972714 is a wasteful number, since it uses less digits than its factorization.

18906972714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20660 (or 20650 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 18906972714 in words is "eighteen billion, nine hundred six million, nine hundred seventy-two thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1097 2194 3291 6582 7679 9873 15358 19541 19746 23037 39082 46074 53753 58623 69111 107506 117246 136787 138222 161259 175869 273574 322518 351738 410361 483777 820722 957509 967554 1231083 1915018 2462166 2872527 5745054 8617581 17235162 21436477 42872954 64309431 128618862 150055339 192928293 300110678 385856586 450166017 900332034 1050387373 1350498051 2100774746 2700996102 3151162119 6302324238 9453486357 18906972714