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18930143295 = 3257253161983
BaseRepresentation
bin10001101000010100…
…110001000000111111
31210212021101220202100
4101220110301000333
5302232104041140
612410230400143
71240051364100
oct215024610077
953767356670
1018930143295
118034632928
123803800053
131a28b4c22b
14cb81923a7
1575bd8b530
hex46853103f

18930143295 has 72 divisors (see below), whose sum is σ = 38889766656. Its totient is φ = 8490448512.

The previous prime is 18930143257. The next prime is 18930143303. The reversal of 18930143295 is 59234103981.

It is a happy number.

18930143295 is a `hidden beast` number, since 18 + 9 + 301 + 4 + 329 + 5 = 666.

It is not a de Polignac number, because 18930143295 - 29 = 18930142783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 18930143295.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35874 + ... + 197856.

It is an arithmetic number, because the mean of its divisors is an integer number (540135648).

Almost surely, 218930143295 is an apocalyptic number.

18930143295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18930143295 is an abundant number, since it is smaller than the sum of its proper divisors (19959623361).

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

18930143295 is a wasteful number, since it uses less digits than its factorization.

18930143295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162061 (or 162051 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 18930143295 in words is "eighteen billion, nine hundred thirty million, one hundred forty-three thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 53 63 105 147 159 245 265 315 371 441 477 735 795 1113 1855 2205 2385 2597 3339 5565 7791 12985 16695 23373 38955 116865 161983 485949 809915 1133881 1457847 2429745 3401643 5669405 7289235 7937167 8585099 10204929 17008215 23811501 25755297 39685835 42925495 51024645 60095693 71434503 77265891 119057505 128776485 180287079 300478465 357172515 386329455 420669851 540861237 901435395 1262009553 2103349255 2704306185 3786028659 6310047765 18930143295