Search a number
-
+
10691973604 = 22132412972
BaseRepresentation
bin10011111010100101…
…01001000111100100
31000121010211112110101
421331102221013210
5133344121123404
64524542033444
7525646163464
oct117522510744
930533745411
1010691973604
114597382024
1220a4878884
131015179400
1473600bba4
154289e72a4
hex27d4a91e4

10691973604 has 81 divisors (see below), whose sum is σ = 20983498641. Its totient is φ = 4764764160.

The previous prime is 10691973587. The next prime is 10691973613. The reversal of 10691973604 is 40637919601.

It is a happy number.

The square root of 10691973604 is 103402.

It is a perfect power (a square), and thus also a powerful number.

10691973604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 10181213604 + 510760000 = 100902^2 + 22600^2 .

It is a super-2 number, since 2×106919736042 (a number of 21 digits) contains 22 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 110226484 + ... + 110226580.

Almost surely, 210691973604 is an apocalyptic number.

10691973604 is the 103402-nd square number.

It is an amenable number.

10691973604 is a deficient number, since it is larger than the sum of its proper divisors (10291525037).

10691973604 is an equidigital number, since it uses as much as digits as its factorization.

10691973604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 10691973604 in words is "ten billion, six hundred ninety-one million, nine hundred seventy-three thousand, six hundred four".

Divisors: 1 2 4 13 26 41 52 82 97 164 169 194 338 388 533 676 1066 1261 1681 2132 2522 3362 3977 5044 6724 6929 7954 9409 13858 15908 16393 18818 21853 27716 32786 37636 43706 51701 65572 87412 103402 122317 163057 206804 244634 284089 326114 385769 489268 568178 652228 672113 771538 1136356 1344226 1543076 1590121 2119741 2688452 3180242 4239482 5014997 6360484 8478964 10029994 15816529 20059988 27556633 31633058 55113266 63266116 65194961 110226532 130389922 205614877 260779844 411229754 822459508 2672993401 5345986802 10691973604