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18946721153 = 1759178910559
BaseRepresentation
bin10001101001010100…
…000000010110000001
31210220102121011022002
4101221110000112001
5302300330034103
612412021553345
71240342321043
oct215124002601
953812534262
1018946721153
118042a26038
123809275855
131a2c404b09
14cba469a93
1575d563488
hex469500581

18946721153 has 16 divisors (see below), whose sum is σ = 20414592000. Its totient is φ = 17518509312.

The previous prime is 18946721141. The next prime is 18946721179. The reversal of 18946721153 is 35112764981.

It is a cyclic number.

It is not a de Polignac number, because 18946721153 - 214 = 18946704769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18946721098 and 18946721107.

It is not an unprimeable number, because it can be changed into a prime (18946721113) 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 15 ways as a sum of consecutive naturals, for example, 1789088 + ... + 1799646.

It is an arithmetic number, because the mean of its divisors is an integer number (1275912000).

Almost surely, 218946721153 is an apocalyptic number.

It is an amenable number.

18946721153 is a deficient number, since it is larger than the sum of its proper divisors (1467870847).

18946721153 is a wasteful number, since it uses less digits than its factorization.

18946721153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12424.

The product of its digits is 362880, while the sum is 47.

The spelling of 18946721153 in words is "eighteen billion, nine hundred forty-six million, seven hundred twenty-one thousand, one hundred fifty-three".

Divisors: 1 17 59 1003 1789 10559 30413 105551 179503 622981 1794367 10590677 18890051 321130867 1114513009 18946721153