Search a number
-
+
6881312731158 = 23229131976910301
BaseRepresentation
bin110010000100010111000…
…1100110111000000010110
3220100211212111221000111100
41210020232030313000112
51400220412024344113
622345121553250530
71310105226061305
oct144105614670026
926324774830440
106881312731158
112213391706608
12931789863a46
133abb9c3b5c78
1419b0b33a643c
15bdeeab00d73
hex6422e337016

6881312731158 has 96 divisors (see below), whose sum is σ = 15544469397600. Its totient is φ = 2197331136000.

The previous prime is 6881312731157. The next prime is 6881312731201. The reversal of 6881312731158 is 8511372131886.

6881312731158 is a `hidden beast` number, since 6 + 8 + 8 + 1 + 312 + 7 + 311 + 5 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6881312731157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668018608 + ... + 668028908.

It is an arithmetic number, because the mean of its divisors is an integer number (161921556225).

Almost surely, 26881312731158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6881312731158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772234698800).

6881312731158 is an abundant number, since it is smaller than the sum of its proper divisors (8663156666442).

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

6881312731158 is a wasteful number, since it uses less digits than its factorization.

6881312731158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20238 (or 20235 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 6881312731158 in words is "six trillion, eight hundred eighty-one billion, three hundred twelve million, seven hundred thirty-one thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 131 174 261 262 393 522 786 1179 2358 3799 7598 9769 10301 11397 19538 20602 22794 29307 30903 34191 58614 61806 68382 87921 92709 175842 185418 283301 298729 566602 597458 849903 896187 1279739 1349431 1699806 1792374 2549709 2559478 2688561 2698862 3839217 4048293 5099418 5377122 7678434 8096586 11517651 12144879 23035302 24289758 37112431 39133499 74224862 78266998 100630469 111337293 117400497 201260938 222674586 234800994 301891407 334011879 352201491 603782814 668023758 704402982 905674221 1811348442 2918283601 5836567202 8754850803 13182591439 17509701606 26264552409 26365182878 39547774317 52529104818 79095548634 118643322951 237286645902 382295151731 764590303462 1146885455193 2293770910386 3440656365579 6881312731158