Search a number
-
+
18031686741477 = 32174110212815369
BaseRepresentation
bin1000001100110010101000…
…10010000110110111100101
32100211210221020210220101100
410012121110102012313211
54330412343301211402
6102203350441550313
73540514002254163
oct406312422066745
970753836726340
1018031686741477
115822217098102
1220327b34a5399
13a0a4c46cb246
14464a49c4a233
152140a3b1771c
hex106654486de5

18031686741477 has 48 divisors (see below), whose sum is σ = 28278184399920. Its totient is φ = 11027233382400.

The previous prime is 18031686741473. The next prime is 18031686741527. The reversal of 18031686741477 is 77414768613081.

It is a happy number.

18031686741477 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 1 + 68 + 67 + 41 + 477 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23554268676 + 18008132472801 = 153474^2 + 4243599^2 .

It is not a de Polignac number, because 18031686741477 - 22 = 18031686741473 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18031686741473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4997049 + ... + 7812417.

It is an arithmetic number, because the mean of its divisors is an integer number (589128841665).

Almost surely, 218031686741477 is an apocalyptic number.

18031686741477 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

18031686741477 is a deficient number, since it is larger than the sum of its proper divisors (10246497658443).

18031686741477 is a wasteful number, since it uses less digits than its factorization.

18031686741477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816454 (or 2816451 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 18031686741477 in words is "eighteen trillion, thirty-one billion, six hundred eighty-six million, seven hundred forty-one thousand, four hundred seventy-seven".

Divisors: 1 3 9 17 41 51 123 153 369 697 1021 2091 3063 6273 9189 17357 41861 52071 125583 156213 376749 711637 2134911 2815369 6404733 8446107 25338321 47861273 115430129 143583819 346290387 430751457 1038871161 1962312193 2874491749 5886936579 8623475247 17660809737 25870425741 48866359733 117854161709 146599079199 353562485127 439797237597 1060687455381 2003520749053 6010562247159 18031686741477