Search a number
-
+
11704675374 = 2327319113883
BaseRepresentation
bin10101110011010011…
…10010110000101110
31010012201102010010100
422321221302300232
5142432344102444
65213235451530
7563024046000
oct127151626056
933181363110
1011704675374
114a66a90937
122327a56ba6
131146c12b22
147d0704370
15487886e69
hex2b9a72c2e

11704675374 has 192 divisors, whose sum is σ = 31442112000. Its totient is φ = 3136589568.

The previous prime is 11704675373. The next prime is 11704675417. The reversal of 11704675374 is 47357640711.

11704675374 is a `hidden beast` number, since 1 + 1 + 70 + 46 + 7 + 537 + 4 = 666.

It is a super-2 number, since 2×117046753742 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11704675373) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13255137 + ... + 13256019.

It is an arithmetic number, because the mean of its divisors is an integer number (163761000).

Almost surely, 211704675374 is an apocalyptic number.

11704675374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11704675374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721056000).

11704675374 is an abundant number, since it is smaller than the sum of its proper divisors (19737436626).

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

11704675374 is a wasteful number, since it uses less digits than its factorization.

11704675374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 11704675374 in words is "eleven billion, seven hundred four million, six hundred seventy-five thousand, three hundred seventy-four".