Search a number
-
+
97670565996965 = 5133740611461953
BaseRepresentation
bin10110001101010010110011…
…011001000010100110100101
3110210211012210200021101001222
4112031102303121002212211
5100300213304343400330
6543421123311430125
726400315450621563
oct2615226331024645
9423735720241058
1097670565996965
1129136944269a55
12ab55262b25345
1342663aaa3c740
141a193d002aa33
15b4598005c0e5
hex58d4b36429a5

97670565996965 has 16 divisors (see below), whose sum is σ = 129631786557168. Its totient is φ = 70176606253056.

The previous prime is 97670565996961. The next prime is 97670565996977. The reversal of 97670565996965 is 56969956507679.

It is a Cunningham number, because it is equal to 98828422+1.

It can be written as a sum of positive squares in 8 ways, for example, as 10273608331009 + 87396957665956 = 3205247^2 + 9348634^2 .

It is a cyclic number.

It is not a de Polignac number, because 97670565996965 - 22 = 97670565996961 is a prime.

It is a super-2 number, since 2×976705659969652 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97670565996961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20305728572 + ... + 20305733381.

It is an arithmetic number, because the mean of its divisors is an integer number (8101986659823).

Almost surely, 297670565996965 is an apocalyptic number.

It is an amenable number.

97670565996965 is a deficient number, since it is larger than the sum of its proper divisors (31961220560203).

97670565996965 is a wasteful number, since it uses less digits than its factorization.

97670565996965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40611462008.

The product of its (nonzero) digits is 52081218000, while the sum is 89.

The spelling of 97670565996965 in words is "ninety-seven trillion, six hundred seventy billion, five hundred sixty-five million, nine hundred ninety-six thousand, nine hundred sixty-five".

Divisors: 1 5 13 37 65 185 481 2405 40611461953 203057309765 527949005389 1502624092261 2639745026945 7513120461305 19534113199393 97670565996965