Search a number
-
+
97408064652 = 223173729394391
BaseRepresentation
bin101101010110111111…
…0010001110010001100
3100022102112110101101020
41122231332101302030
53043442431032102
6112425412514140
710015601613453
oct1325576216214
9308375411336
1097408064652
1138346349778
1216a6591b950
1392548314a2
144a00b1bb9a
1528018edbbc
hex16adf91c8c

97408064652 has 96 divisors (see below), whose sum is σ = 247299816960. Its totient is φ = 29716577280.

The previous prime is 97408064641. The next prime is 97408064653. The reversal of 97408064652 is 25646080479.

It is a super-2 number, since 2×974080646522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 97408064595 and 97408064604.

It is not an unprimeable number, because it can be changed into a prime (97408064653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22181377 + ... + 22185767.

It is an arithmetic number, because the mean of its divisors is an integer number (2576039760).

Almost surely, 297408064652 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 97408064652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123649908480).

97408064652 is an abundant number, since it is smaller than the sum of its proper divisors (149891752308).

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

97408064652 is a wasteful number, since it uses less digits than its factorization.

97408064652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7391 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 97408064652 in words is "ninety-seven billion, four hundred eight million, sixty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 2939 3774 4391 5878 7548 8782 8817 11756 13173 17564 17634 26346 35268 49963 52692 74647 99926 108743 149294 149889 162467 199852 217486 223941 298588 299778 324934 326229 434972 447882 487401 599556 649868 652458 895764 974802 1304916 1848631 1949604 2761939 3697262 5523878 5545893 7394524 8285817 11047756 11091786 12905149 16571634 22183572 25810298 33143268 38715447 51620596 77430894 154861788 219387533 438775066 477490513 658162599 877550132 954981026 1316325198 1432471539 1909962052 2632650396 2864943078 5729886156 8117338721 16234677442 24352016163 32469354884 48704032326 97408064652