Search a number
-
+
16944132079056 = 24371331819115277
BaseRepresentation
bin1111011010010001110011…
…1110010011110111010000
32012222211202200211210022110
43312210130332103313100
54210103040303012211
6100012005443105320
73366113250203520
oct366443476236720
965884680753273
1016944132079056
115442a6990a476
121a97a77672240
1395ba95111260
144281595a7680
151e5b50a53ea6
hexf691cf93dd0

16944132079056 has 320 divisors, whose sum is σ = 55621940412416. Its totient is φ = 4323816806400.

The previous prime is 16944132079033. The next prime is 16944132079117. The reversal of 16944132079056 is 65097023144961.

It is a super-2 number, since 2×169441320790562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16944132078987 and 16944132079005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1109119290 + ... + 1109134566.

Almost surely, 216944132079056 is an apocalyptic number.

16944132079056 is a gapful number since it is divisible by the number (16) 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 16944132079056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27810970206208).

16944132079056 is an abundant number, since it is smaller than the sum of its proper divisors (38677808333360).

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

16944132079056 is a wasteful number, since it uses less digits than its factorization.

16944132079056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23530 (or 23524 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 16944132079056 in words is "sixteen trillion, nine hundred forty-four billion, one hundred thirty-two million, seventy-nine thousand, fifty-six".