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681764457231 = 341113227383677
BaseRepresentation
bin10011110101111000101…
…01000000101100001111
32102011202100002211210000
421322330111000230033
542132223200112411
61241110454215343
7100153521161544
oct11727425005417
92364670084700
10681764457231
112431532984a0
12b0169654553
134c3a04b9550
1424dd74c2bcb
1512b031c3956
hex9ebc540b0f

681764457231 has 160 divisors (see below), whose sum is σ = 1206675283968. Its totient is φ = 378175599360.

The previous prime is 681764457193. The next prime is 681764457299. The reversal of 681764457231 is 132754467186.

681764457231 is a `hidden beast` number, since 6 + 8 + 1 + 7 + 64 + 4 + 572 + 3 + 1 = 666.

681764457231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 681764457231 - 26 = 681764457167 is a prime.

It is a super-2 number, since 2×6817644572312 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (6773760) is a multiple of the sum of its prime factors (1323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681764457431) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1007037265 + ... + 1007037941.

Almost surely, 2681764457231 is an apocalyptic number.

681764457231 is a deficient number, since it is larger than the sum of its proper divisors (524910826737).

681764457231 is a wasteful number, since it uses less digits than its factorization.

681764457231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1314 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 681764457231 in words is "six hundred eighty-one billion, seven hundred sixty-four million, four hundred fifty-seven thousand, two hundred thirty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 227 297 351 383 429 677 681 891 1053 1149 1287 2031 2043 2497 2951 3447 3861 4213 4979 6093 6129 7447 7491 8801 8853 10341 11583 12639 14937 18279 18387 22341 22473 26403 26559 31023 32461 37917 44811 54769 54837 67023 67419 79209 79677 86941 96811 97383 113751 134433 153679 164307 201069 202257 237627 239031 259291 260823 290433 292149 341253 403299 461037 492921 603207 712881 777873 782469 871299 876447 956351 1130233 1383111 1478763 1690469 1997827 2333619 2347407 2613897 2629341 2852201 2869053 3370783 3390699 4149333 4436289 5071407 5993481 7000857 7042221 7841691 8556603 8607159 10112349 10172097 12432563 12447999 15214221 17980443 21002571 21976097 25669809 25821477 30337047 30516291 37078613 37297689 45642663 53941329 58859057 65928291 77009427 77464431 91011141 91548873 111235839 111893067 136927989 161823987 176577171 197784873 231028281 273033423 333707517 335679201 529731513 593354619 647449627 765167741 1001122551 1007037603 1589194539 1780063857 1942348881 2295503223 3003367653 4767583617 5827046643 6886509669 8416845151 17481139929 20659529007 25250535453 52443419787 61978587021 75751606359 227254819077 681764457231