Search a number
-
+
18057194964792 = 2333291232870519
BaseRepresentation
bin1000001101100010001001…
…01100010000011100111000
32100221020202222000220112000
410012301010230100130320
54331322113402333132
6102223205535421000
73542406060502164
oct406610454203470
970836688026460
1018057194964792
1158320168978a5
122037732084760
13a0ca2b3087c9
14465d898c9ca4
15214a9822987c
hex106c44b10738

18057194964792 has 64 divisors (see below), whose sum is σ = 50160614688000. Its totient is φ = 6018856214112.

The previous prime is 18057194964769. The next prime is 18057194964871. The reversal of 18057194964792 is 29746949175081.

18057194964792 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 7 + 1 + 9 + 496 + 47 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 18057194964792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4855309 + ... + 7725827.

It is an arithmetic number, because the mean of its divisors is an integer number (783759604500).

Almost surely, 218057194964792 is an apocalyptic number.

18057194964792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18057194964792 is an abundant number, since it is smaller than the sum of its proper divisors (32103419723208).

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

18057194964792 is a wasteful number, since it uses less digits than its factorization.

18057194964792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899657 (or 2899647 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 18057194964792 in words is "eighteen trillion, fifty-seven billion, one hundred ninety-four million, nine hundred sixty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 29123 58246 87369 116492 174738 232984 262107 349476 524214 698952 786321 1048428 1572642 2096856 2870519 3145284 5741038 6290568 8611557 11482076 17223114 22964152 25834671 34446228 51669342 68892456 77504013 103338684 155008026 206677368 310016052 620032104 83598124837 167196249674 250794374511 334392499348 501588749022 668784998696 752383123533 1003177498044 1504766247066 2006354996088 2257149370599 3009532494132 4514298741198 6019064988264 9028597482396 18057194964792