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18016979040060 = 22357111319312392131
BaseRepresentation
bin1000001100010111001111…
…01000101011011100111100
32100210101222020200020222020
410012023213220223130330
54330142233113240220
6102152515204520140
73536453352000210
oct406134750533474
970711866606866
1018016979040060
115816a59a6a370
12202b9899b0050
13a08cbc5b4740
14464052792940
152139e27e0040
hex1062e7a2b73c

18016979040060 has 1536 divisors, whose sum is σ = 73941280358400. Its totient is φ = 3153572352000.

The previous prime is 18016979040059. The next prime is 18016979040083. The reversal of 18016979040060 is 6004097961081.

It is a happy number.

It is a super-3 number, since 3×180169790400603 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 18016979039985 and 18016979040012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 8454705195 + ... + 8454707325.

It is an arithmetic number, because the mean of its divisors is an integer number (48138854400).

Almost surely, 218016979040060 is an apocalyptic number.

18016979040060 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 18016979040060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36970640179200).

18016979040060 is an abundant number, since it is smaller than the sum of its proper divisors (55924301318340).

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

18016979040060 is a wasteful number, since it uses less digits than its factorization.

18016979040060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 18016979040060 in words is "eighteen trillion, sixteen billion, nine hundred seventy-nine million, forty thousand, sixty".