Search a number
-
+
10073496965 = 571731546137
BaseRepresentation
bin10010110000110110…
…10101110110000101
3222000001001200000012
421120123111312011
5131112303400330
64343330000005
7504426211550
oct113033256605
928001050005
1010073496965
1142aa254404
121b51716005
13c46cb18bc
146b7c15697
153de579c95
hex2586d5d85

10073496965 has 32 divisors (see below), whose sum is σ = 15099623424. Its totient is φ = 6291486720.

The previous prime is 10073496959. The next prime is 10073496971. The reversal of 10073496965 is 56969437001.

10073496965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10073496959) and next prime (10073496971).

It is not a de Polignac number, because 10073496965 - 226 = 10006388101 is a prime.

It is a super-2 number, since 2×100734969652 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent 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, 254624 + ... + 291513.

It is an arithmetic number, because the mean of its divisors is an integer number (471863232).

Almost surely, 210073496965 is an apocalyptic number.

It is an amenable number.

10073496965 is a deficient number, since it is larger than the sum of its proper divisors (5026126459).

10073496965 is a wasteful number, since it uses less digits than its factorization.

10073496965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546197.

The product of its (nonzero) digits is 1224720, while the sum is 50.

The spelling of 10073496965 in words is "ten billion, seventy-three million, four hundred ninety-six thousand, nine hundred sixty-five".

Divisors: 1 5 7 17 31 35 85 119 155 217 527 595 1085 2635 3689 18445 546137 2730685 3822959 9284329 16930247 19114795 46421645 64990303 84651235 118511729 287814199 324951515 592558645 1439070995 2014699393 10073496965