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67414631856 = 243111317775527
BaseRepresentation
bin111110110010001110…
…011010010110110000
320110000020112010111220
4332302032122112300
52101031121204411
650545253305040
74604411626125
oct766216322660
9213006463456
1067414631856
1126654890790
1211095035180
136484928610
14339750274c
151b48670b06
hexfb239a5b0

67414631856 has 160 divisors (see below), whose sum is σ = 204753228288. Its totient is φ = 18843217920.

The previous prime is 67414631821. The next prime is 67414631887. The reversal of 67414631856 is 65813641476.

It is a junction number, because it is equal to n+sod(n) for n = 67414631799 and 67414631808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12194565 + ... + 12200091.

Almost surely, 267414631856 is an apocalyptic number.

67414631856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67414631856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102376614144).

67414631856 is an abundant number, since it is smaller than the sum of its proper divisors (137338596432).

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

67414631856 is a wasteful number, since it uses less digits than its factorization.

67414631856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7333 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 67414631856 in words is "sixty-seven billion, four hundred fourteen million, six hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 1777 2288 3432 3554 5331 5527 6864 7108 10662 11054 14216 16581 19547 21324 22108 23101 28432 33162 39094 42648 44216 46202 58641 60797 66324 69303 71851 78188 85296 88432 92404 117282 121594 132648 138606 143702 156376 182391 184808 215553 234564 243188 254111 265296 277212 287404 312752 364782 369616 431106 469128 486376 508222 554424 574808 729564 762333 790361 862212 938256 972752 1016444 1108848 1149616 1459128 1524666 1580722 1724424 2032888 2371083 2918256 3049332 3161444 3448848 4065776 4742166 6098664 6322888 9484332 9821479 12197328 12645776 18968664 19642958 29464437 37937328 39285916 58928874 78571832 108036269 117857748 127679227 157143664 216072538 235715496 255358454 324108807 383037681 432145076 471430992 510716908 648217614 766075362 864290152 1021433816 1296435228 1404471497 1532150724 1728580304 2042867632 2592870456 2808942994 3064301448 4213414491 5185740912 5617885988 6128602896 8426828982 11235771976 16853657964 22471543952 33707315928 67414631856