Search a number
-
+
3195694035072 = 273371137463701
BaseRepresentation
bin101110100000001110001…
…101010011000010000000
3102022111122102010021112000
4232200032031103002000
5404324240133110242
610444025341504000
7446611164052350
oct56401615230200
912274572107460
103195694035072
111022316a75780
1243741b572000
131a2477a21826
14b095b17ab60
15581d9b56a4c
hex2e80e353080

3195694035072 has 1024 divisors, whose sum is σ = 12120208588800. Its totient is φ = 804722688000.

The previous prime is 3195694035059. The next prime is 3195694035097. The reversal of 3195694035072 is 2705304965913.

3195694035072 is a `hidden beast` number, since 3 + 1 + 9 + 569 + 4 + 0 + 3 + 5 + 0 + 72 = 666.

It is a super-2 number, since 2×31956940350722 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4558764322 + ... + 4558765022.

It is an arithmetic number, because the mean of its divisors is an integer number (11836141200).

Almost surely, 23195694035072 is an apocalyptic number.

3195694035072 is a gapful number since it is divisible by the number (32) 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 3195694035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060104294400).

3195694035072 is an abundant number, since it is smaller than the sum of its proper divisors (8924514553728).

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

3195694035072 is a wasteful number, since it uses less digits than its factorization.

3195694035072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 3195694035072 in words is "three trillion, one hundred ninety-five billion, six hundred ninety-four million, thirty-five thousand, seventy-two".