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16159324263264 = 253371371240771
BaseRepresentation
bin1110101100100110001011…
…0010000101001101100000
32010012211001002110222012000
43223021202302011031200
54104223244002411024
654211254024004000
73255321055633650
oct353114262051540
963184032428160
1016159324263264
115170149301616
12198b951000600
13902a8275c5c0
143dc188bb2360
151d051b389cc9
hexeb262c85360

16159324263264 has 576 divisors, whose sum is σ = 58837792688640. Its totient is φ = 4201671398400.

The previous prime is 16159324263161. The next prime is 16159324263301. The reversal of 16159324263264 is 46236242395161.

16159324263264 is a `hidden beast` number, since 1 + 6 + 1 + 59 + 324 + 2 + 6 + 3 + 264 = 666.

It is a super-3 number, since 3×161593242632643 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16159324263264.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 396323199 + ... + 396363969.

It is an arithmetic number, because the mean of its divisors is an integer number (102148945640).

Almost surely, 216159324263264 is an apocalyptic number.

16159324263264 is a gapful number since it is divisible by the number (14) 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 16159324263264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29418896344320).

16159324263264 is an abundant number, since it is smaller than the sum of its proper divisors (42678468425376).

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

16159324263264 is a wasteful number, since it uses less digits than its factorization.

16159324263264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40952 (or 40867 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 16159324263264 in words is "sixteen trillion, one hundred fifty-nine billion, three hundred twenty-four million, two hundred sixty-three thousand, two hundred sixty-four".