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682677245340 = 22355178262857
BaseRepresentation
bin10011110111100101011…
…11000001010110011100
32102021002221200021200000
421323302233001112130
542141110333322330
61241341222334300
7100215243561426
oct11736257012634
92367087607600
10682677245340
11243581564732
12b038328a390
134c4b763c85c
142508280b816
1512b583c9560
hex9ef2bc159c

682677245340 has 144 divisors (see below), whose sum is σ = 2273806315872. Its totient is φ = 171338582016.

The previous prime is 682677245267. The next prime is 682677245359. The reversal of 682677245340 is 43542776286.

682677245340 is a `hidden beast` number, since 6 + 82 + 6 + 7 + 7 + 24 + 534 + 0 = 666.

It is a super-3 number, since 3×6826772453403 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4048809 + ... + 4214048.

It is an arithmetic number, because the mean of its divisors is an integer number (15790321638).

Almost surely, 2682677245340 is an apocalyptic number.

682677245340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682677245340 is an abundant number, since it is smaller than the sum of its proper divisors (1591129070532).

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

682677245340 is a wasteful number, since it uses less digits than its factorization.

682677245340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262898 (or 8262884 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 682677245340 in words is "six hundred eighty-two billion, six hundred seventy-seven million, two hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 306 324 340 405 459 486 510 540 612 765 810 918 972 1020 1215 1377 1530 1620 1836 2295 2430 2754 3060 4131 4590 4860 5508 6885 8262 9180 13770 16524 20655 27540 41310 82620 8262857 16525714 24788571 33051428 41314285 49577142 74365713 82628570 99154284 123942855 140468569 148731426 165257140 223097139 247885710 280937138 297462852 371828565 421405707 446194278 495771420 561874276 669291417 702342845 743657130 842811414 892388556 1115485695 1264217121 1338582834 1404685690 1487314260 1685622828 2007874251 2107028535 2230971390 2528434242 2677165668 2809371380 3346457085 3792651363 4015748502 4214057070 4461942780 5056868484 6321085605 6692914170 7585302726 8031497004 8428114140 10039371255 11377954089 12642171210 13385828340 15170605452 18963256815 20078742510 22755908178 25284342420 34133862267 37926513630 40157485020 45511816356 56889770445 68267724534 75853027260 113779540890 136535449068 170669311335 227559081780 341338622670 682677245340