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18790627060 = 22531229132347
BaseRepresentation
bin10001100000000000…
…100011011011110100
31210111112212202110101
4101200000203123310
5301440400031220
612344324203444
71233435460162
oct214000433364
953445782411
1018790627060
117a72901257
123784b39584
131a05c8114a
14ca3836232
1574e9cd30a
hex4600236f4

18790627060 has 48 divisors (see below), whose sum is σ = 40911413760. Its totient is φ = 7241973120.

The previous prime is 18790627033. The next prime is 18790627067. The reversal of 18790627060 is 6072609781.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18790627060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18790627067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75807 + ... + 208153.

It is an arithmetic number, because the mean of its divisors is an integer number (852321120).

Almost surely, 218790627060 is an apocalyptic number.

18790627060 is a gapful number since it is divisible by the number (10) 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 18790627060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20455706880).

18790627060 is an abundant number, since it is smaller than the sum of its proper divisors (22120786700).

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

18790627060 is a wasteful number, since it uses less digits than its factorization.

18790627060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132616 (or 132614 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 18790627060 in words is "eighteen billion, seven hundred ninety million, six hundred twenty-seven thousand, sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 229 310 458 620 916 1145 2290 4580 7099 14198 28396 35495 70990 132347 141980 264694 529388 661735 1323470 2646940 4102757 8205514 16411028 20513785 30307463 41027570 60614926 82055140 121229852 151537315 303074630 606149260 939531353 1879062706 3758125412 4697656765 9395313530 18790627060