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18768106496 = 210151121379
BaseRepresentation
bin10001011110101010…
…101001010000000000
31210102222111121001102
4101132222221100000
5301414113401441
612342201353532
71233043162436
oct213652512000
953388447042
1018768106496
117a6111a217
1237794988a8
131a013c7679
14ca0852d56
1574ca3069b
hex45eaa9400

18768106496 has 44 divisors (see below), whose sum is σ = 37766658720. Its totient is φ = 9321830400.

The previous prime is 18768106493. The next prime is 18768106529. The reversal of 18768106496 is 69460186781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18768106493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93935 + ... + 215313.

Almost surely, 218768106496 is an apocalyptic number.

18768106496 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 18768106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18883329360).

18768106496 is an abundant number, since it is smaller than the sum of its proper divisors (18998552224).

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

18768106496 is a wasteful number, since it uses less digits than its factorization.

18768106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121550 (or 121532 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 18768106496 in words is "eighteen billion, seven hundred sixty-eight million, one hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 512 604 1024 1208 2416 4832 9664 19328 38656 77312 121379 154624 242758 485516 971032 1942064 3884128 7768256 15536512 18328229 31073024 36656458 62146048 73312916 124292096 146625832 293251664 586503328 1173006656 2346013312 4692026624 9384053248 18768106496