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18808240535856 = 24331921132773853
BaseRepresentation
bin1000100011011001000100…
…11111101111100100110000
32110121001100121202222202000
410101230202133233210300
54431123234034121411
6104000215244454000
73650564506512462
oct421544237574460
973531317688660
1018808240535856
115aa15914a8562
1221391b584a300
13a657c0019b65
14490476332132
152293a385a956
hex111b227ef930

18808240535856 has 480 divisors, whose sum is σ = 57704278921920. Its totient is φ = 5864108285952.

The previous prime is 18808240535827. The next prime is 18808240535869. The reversal of 18808240535856 is 65853504280881.

It is a happy number.

18808240535856 is a `hidden beast` number, since 1 + 8 + 8 + 0 + 8 + 2 + 40 + 5 + 3 + 585 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18808240535793 and 18808240535802.

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, 4881451626 + ... + 4881455478.

It is an arithmetic number, because the mean of its divisors is an integer number (120217247754).

Almost surely, 218808240535856 is an apocalyptic number.

18808240535856 is a gapful number since it is divisible by the number (16) 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 18808240535856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28852139460960).

18808240535856 is an abundant number, since it is smaller than the sum of its proper divisors (38896038386064).

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

18808240535856 is a wasteful number, since it uses less digits than its factorization.

18808240535856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 18808240535856 in words is "eighteen trillion, eight hundred eight billion, two hundred forty million, five hundred thirty-five thousand, eight hundred fifty-six".