Search a number
-
+
16831726323156 = 22336730752114543
BaseRepresentation
bin1111010011101111000100…
…0100011000010111010100
32012121002121221120202021000
43310323301010120113110
54201232333414320111
655444215513423300
73355023604064463
oct364736104302724
965532557522230
1016831726323156
1153aa327786348
121a7a12710ab30
139512c0391864
14422934aa69da
151e2c72649c56
hexf4ef11185d4

16831726323156 has 192 divisors, whose sum is σ = 44521729781760. Its totient is φ = 5497881143040.

The previous prime is 16831726323073. The next prime is 16831726323221. The reversal of 16831726323156 is 65132362713861.

16831726323156 is a `hidden beast` number, since 1 + 6 + 8 + 317 + 2 + 6 + 3 + 2 + 315 + 6 = 666.

16831726323156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×168317263231562 (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1157369221 + ... + 1157383763.

It is an arithmetic number, because the mean of its divisors is an integer number (231884009280).

Almost surely, 216831726323156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16831726323156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260864890880).

16831726323156 is an abundant number, since it is smaller than the sum of its proper divisors (27690003458604).

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

16831726323156 is a wasteful number, since it uses less digits than its factorization.

16831726323156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15451 (or 15443 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 16831726323156 in words is "sixteen trillion, eight hundred thirty-one billion, seven hundred twenty-six million, three hundred twenty-three thousand, one hundred fifty-six".