Search a number
-
+
257000043033126 = 23423772683248753
BaseRepresentation
bin111010011011110101111100…
…010001011011001000100110
31020200221222000212201121110000
4322123311330101123020212
5232141142042004030001
62310332105002442130
7105063432435056151
oct7233657421331046
91220858025647400
10257000043033126
1174985119351148
12249a83b6503346
13b0530001c6763
144766c23066c98
151eaa26309da86
hexe9bd7c45b226

257000043033126 has 80 divisors (see below), whose sum is σ = 576329778495504. Its totient is φ = 85598381062656.

The previous prime is 257000043033061. The next prime is 257000043033127. The reversal of 257000043033126 is 621330340000752.

257000043033126 is a `hidden beast` number, since 2 + 5 + 70 + 0 + 0 + 0 + 430 + 33 + 126 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257000043033127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1033029166 + ... + 1033277918.

Almost surely, 2257000043033126 is an apocalyptic number.

257000043033126 is an abundant number, since it is smaller than the sum of its proper divisors (319329735462378).

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

257000043033126 is a wasteful number, since it uses less digits than its factorization.

257000043033126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253827 (or 253818 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 257000043033126 its reverse (621330340000752), we get a palindrome (878330383033878).

The spelling of 257000043033126 in words is "two hundred fifty-seven trillion, forty-three million, thirty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 2377 2683 4754 5366 7131 8049 14262 16098 21393 24147 42786 48294 64179 72441 128358 144882 192537 217323 248753 385074 434646 497506 746259 1492518 2238777 4477554 6377491 6716331 12754982 13432662 19132473 20148993 38264946 40297986 57397419 114794838 172192257 344384514 516576771 591285881 667404299 1033153542 1182571762 1334808598 1773857643 2002212897 3547715286 4004425794 5321572929 6006638691 10643145858 12013277382 15964718787 18019916073 31929437574 36039832146 47894156361 54059748219 95788312722 108119496438 1586420018723 3172840037446 4759260056169 9518520112338 14277780168507 28555560337014 42833340505521 85666681011042 128500021516563 257000043033126