Search a number
-
+
10294561914 = 2371319079887
BaseRepresentation
bin10011001011001101…
…01000110001111010
3222120110000221002220
421211212220301322
5132040401440124
64421304104510
7513052222020
oct114546506172
928513027086
1010294561914
11440301480a
121bb3765136
13c80a32c70
146d931c710
15403b95879
hex2659a8c7a

10294561914 has 64 divisors (see below), whose sum is σ = 25356312576. Its totient is φ = 2713351104.

The previous prime is 10294561847. The next prime is 10294561999. The reversal of 10294561914 is 41916549201.

It is a happy number.

10294561914 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1036279 + ... + 1046165.

It is an arithmetic number, because the mean of its divisors is an integer number (396192384).

Almost surely, 210294561914 is an apocalyptic number.

10294561914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10294561914 is an abundant number, since it is smaller than the sum of its proper divisors (15061750662).

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

10294561914 is a wasteful number, since it uses less digits than its factorization.

10294561914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11819.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 10294561914 in words is "ten billion, two hundred ninety-four million, five hundred sixty-one thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1907 3814 5721 9887 11442 13349 19774 24791 26698 29661 40047 49582 59322 69209 74373 80094 128531 138418 148746 173537 207627 257062 347074 385593 415254 520611 771186 899717 1041222 1799434 2699151 5398302 18854509 37709018 56563527 113127054 131981563 245108617 263963126 395944689 490217234 735325851 791889378 1470651702 1715760319 3431520638 5147280957 10294561914