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18853011362052 = 22347172516473011
BaseRepresentation
bin1000100100101100011110…
…00010111001000100000100
32110202022220202222121110000
410102112033002321010010
54432341431402041202
6104032542011001300
73654041124325530
oct422261702710404
973668822877400
1018853011362052
11600957646496a
122145a0b439230
13a69aa65caaaa
144926c2386bc0
1522a6240ca91c
hex11258f0b9104

18853011362052 has 480 divisors, whose sum is σ = 59989662222336. Its totient is φ = 5040040320000.

The previous prime is 18853011362047. The next prime is 18853011362063. The reversal of 18853011362052 is 25026311035881.

18853011362052 is a `hidden beast` number, since 1 + 8 + 8 + 5 + 3 + 0 + 1 + 13 + 620 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18853011361989 and 18853011362007.

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 159 ways as a sum of consecutive naturals, for example, 6261377227 + ... + 6261380237.

Almost surely, 218853011362052 is an apocalyptic number.

18853011362052 is a gapful number since it is divisible by the number (12) 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 18853011362052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29994831111168).

18853011362052 is an abundant number, since it is smaller than the sum of its proper divisors (41136650860284).

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

18853011362052 is a wasteful number, since it uses less digits than its factorization.

18853011362052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 18853011362052 in words is "eighteen trillion, eight hundred fifty-three billion, eleven million, three hundred sixty-two thousand, fifty-two".