Search a number
-
+
18003361812480 = 212345118271193
BaseRepresentation
bin1000001011111101110111…
…11111000101000000000000
32100202002211020110102110000
410011332323333011000000
54324431341110444410
6102142344044240000
73535462042322232
oct405767377050000
970662736412400
1018003361812480
11581120143a780
122029209540000
13a0792c394925
14463520078252
152134970badc0
hex105fbbfc5000

18003361812480 has 1040 divisors, whose sum is σ = 70548771610944. Its totient is φ = 4355519938560.

The previous prime is 18003361812461. The next prime is 18003361812493. The reversal of 18003361812480 is 8421816330081.

18003361812480 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 3 + 3 + 618 + 1 + 24 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15090830764 + ... + 15090831956.

Almost surely, 218003361812480 is an apocalyptic number.

18003361812480 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 18003361812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35274385805472).

18003361812480 is an abundant number, since it is smaller than the sum of its proper divisors (52545409798464).

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

18003361812480 is a wasteful number, since it uses less digits than its factorization.

18003361812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18003361812480 in words is "eighteen trillion, three billion, three hundred sixty-one million, eight hundred twelve thousand, four hundred eighty".