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18045142603488 = 253371113192291993
BaseRepresentation
bin1000001101001011101100…
…10100001001011011100000
32100220002200000101111222000
410012211312110021123200
54331122423001302423
6102213453555444000
73541501312224450
oct406456624113340
970802600344860
1018045142603488
1158279a1622420
1220353298b6600
13a0b85a36cb80
14465564d5bd60
152145e00b4843
hex1069765096e0

18045142603488 has 2304 divisors, whose sum is σ = 77191804569600. Its totient is φ = 3955473285120.

The previous prime is 18045142603483. The next prime is 18045142603511. The reversal of 18045142603488 is 88430624154081.

18045142603488 is a `hidden beast` number, since 1 + 80 + 4 + 514 + 2 + 6 + 0 + 3 + 48 + 8 = 666.

It is a super-2 number, since 2×180451426034882 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18045142603483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9054260220 + ... + 9054262212.

It is an arithmetic number, because the mean of its divisors is an integer number (33503387400).

Almost surely, 218045142603488 is an apocalyptic number.

18045142603488 is a gapful number since it is divisible by the number (18) 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 18045142603488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38595902284800).

18045142603488 is an abundant number, since it is smaller than the sum of its proper divisors (59146661966112).

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

18045142603488 is a wasteful number, since it uses less digits than its factorization.

18045142603488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 18045142603488 in words is "eighteen trillion, forty-five billion, one hundred forty-two million, six hundred three thousand, four hundred eighty-eight".