Search a number
-
+
10195691904 = 273289277359
BaseRepresentation
bin10010111111011010…
…11110100110000000
3222022112222210221200
421133231132212000
5131340044120104
64403413021200
7510441644166
oct113755364600
928275883850
1010195691904
114362225262
121b86624800
13c663c68b8
146ca143236
153ea165b39
hex25fb5e980

10195691904 has 192 divisors, whose sum is σ = 29858868000. Its totient is φ = 3338919936.

The previous prime is 10195691899. The next prime is 10195691923. The reversal of 10195691904 is 40919659101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×101956919042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10195691904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28400077 + ... + 28400435.

Almost surely, 210195691904 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 10195691904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929434000).

10195691904 is an abundant number, since it is smaller than the sum of its proper divisors (19663176096).

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

10195691904 is a wasteful number, since it uses less digits than its factorization.

10195691904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 10195691904 in words is "ten billion, one hundred ninety-five million, six hundred ninety-one thousand, nine hundred four".