Search a number
-
+
973640735268 = 2231074314793673
BaseRepresentation
bin11100010101100011000…
…00101001101000100100
310110002010200211000222220
432022301200221220210
5111423004012012033
62023141231552340
7130225503461505
oct16126140515044
93402120730886
10973640735268
11345a118a3193
1213884638b6b0
1370a77276c86
14351a5752bac
151a4d7598bb3
hexe2b1829a24

973640735268 has 96 divisors (see below), whose sum is σ = 2303806095360. Its totient is φ = 320010981120.

The previous prime is 973640735267. The next prime is 973640735273. The reversal of 973640735268 is 862537046379.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (973640735267) 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, 265078680 + ... + 265082352.

It is an arithmetic number, because the mean of its divisors is an integer number (23997980160).

Almost surely, 2973640735268 is an apocalyptic number.

It is an amenable number.

973640735268 is an abundant number, since it is smaller than the sum of its proper divisors (1330165360092).

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

973640735268 is a wasteful number, since it uses less digits than its factorization.

973640735268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 973640735268 in words is "nine hundred seventy-three billion, six hundred forty million, seven hundred thirty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 107 214 321 428 431 479 642 862 958 1284 1293 1437 1724 1916 2586 2874 3673 5172 5748 7346 11019 14692 22038 44076 46117 51253 92234 102506 138351 153759 184468 205012 206449 276702 307518 393011 412898 553404 615036 619347 786022 825796 1179033 1238694 1572044 1583063 1759367 2358066 2477388 3166126 3518734 4716132 4749189 5278101 6332252 7037468 9498378 10556202 18996756 21112404 22090043 44180086 66270129 88360172 132540258 169387741 188252269 265080516 338775482 376504538 508163223 564756807 677550964 753009076 758287177 1016326446 1129513614 1516574354 2032652892 2259027228 2274861531 3033148708 4549723062 9099446124 81136727939 162273455878 243410183817 324546911756 486820367634 973640735268