Search a number
-
+
18642366979740 = 223257191871416201
BaseRepresentation
bin1000011110100100000111…
…01010010101111010011100
32110000012012121102021110200
410033102003222111322130
54420414031421322430
6103352103554503500
73632603142531120
oct417220352257234
973005177367420
1018642366979740
115a38202177799
122111022b94b90
13a52c76c5645a
1448641c725580
15224de6410460
hex10f483a95e9c

18642366979740 has 288 divisors, whose sum is σ = 68064809379840. Its totient is φ = 4034676096000.

The previous prime is 18642366979609. The next prime is 18642366979771. The reversal of 18642366979740 is 4797966324681.

It is a happy number.

18642366979740 is a `hidden beast` number, since 1 + 8 + 6 + 423 + 6 + 69 + 79 + 74 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44583640 + ... + 44999840.

It is an arithmetic number, because the mean of its divisors is an integer number (236336143680).

Almost surely, 218642366979740 is an apocalyptic number.

18642366979740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18642366979740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34032404689920).

18642366979740 is an abundant number, since it is smaller than the sum of its proper divisors (49422442400100).

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

18642366979740 is a wasteful number, since it uses less digits than its factorization.

18642366979740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418113 (or 418108 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 18642366979740 in words is "eighteen trillion, six hundred forty-two billion, three hundred sixty-six million, nine hundred seventy-nine thousand, seven hundred forty".