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18953162046 = 232713103112339
BaseRepresentation
bin10001101001101100…
…100100110100111110
31210220212201101112200
4101221230210310332
5302304002141141
612412412012330
71240451135130
oct215154446476
953825641480
1018953162046
118046625195
12380b4610a6
131a3084b6b0
14cbb265050
1575ddd6ab6
hex469b24d3e

18953162046 has 96 divisors (see below), whose sum is σ = 51032916480. Its totient is φ = 4950061632.

The previous prime is 18953162009. The next prime is 18953162071. The reversal of 18953162046 is 64026135981.

18953162046 is a `hidden beast` number, since 18 + 9 + 5 + 3 + 1 + 620 + 4 + 6 = 666.

It is a super-2 number, since 2×189531620462 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18953161992 and 18953162010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112545 + ... + 224883.

It is an arithmetic number, because the mean of its divisors is an integer number (531592880).

Almost surely, 218953162046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18953162046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25516458240).

18953162046 is an abundant number, since it is smaller than the sum of its proper divisors (32079754434).

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

18953162046 is a wasteful number, since it uses less digits than its factorization.

18953162046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112470 (or 112467 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 18953162046 in words is "eighteen billion, nine hundred fifty-three million, one hundred sixty-two thousand, forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 103 117 126 182 206 234 273 309 546 618 721 819 927 1339 1442 1638 1854 2163 2678 4017 4326 6489 8034 9373 12051 12978 18746 24102 28119 56238 84357 112339 168714 224678 337017 674034 786373 1011051 1460407 1572746 2022102 2359119 2920814 4381221 4718238 7077357 8762442 10222849 11570917 13143663 14154714 20445698 23141834 26287326 30668547 34712751 61337094 69425502 80996419 92005641 104138253 150421921 161992838 184011282 208276506 242989257 300843842 451265763 485978514 728967771 902531526 1052953447 1353797289 1457935542 2105906894 2707594578 3158860341 6317720682 9476581023 18953162046