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68285842506 = 23371398211583
BaseRepresentation
bin111111100110001001…
…110100010001001010
320112020221212012212000
4333212021310101022
52104322133430011
651211534331430
74635121040640
oct774611642112
9215227765760
1068285842506
1126a6163a192
1211298959b76
13659328208b
14343b0c7190
151b99db2356
hexfe627444a

68285842506 has 128 divisors (see below), whose sum is σ = 174995251200. Its totient is φ = 19334064960.

The previous prime is 68285842451. The next prime is 68285842531. The reversal of 68285842506 is 60524858286.

It is a happy number.

68285842506 is a `hidden beast` number, since 6 + 8 + 2 + 8 + 584 + 2 + 50 + 6 = 666.

68285842506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43136191 + ... + 43137773.

It is an arithmetic number, because the mean of its divisors is an integer number (1367150400).

Almost surely, 268285842506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68285842506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87497625600).

68285842506 is an abundant number, since it is smaller than the sum of its proper divisors (106709408694).

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

68285842506 is a wasteful number, since it uses less digits than its factorization.

68285842506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 68285842506 in words is "sixty-eight billion, two hundred eighty-five million, eight hundred forty-two thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 139 189 278 378 417 821 834 973 1251 1583 1642 1946 2463 2502 2919 3166 3753 4749 4926 5747 5838 7389 7506 8757 9498 11081 11494 14247 14778 17241 17514 22162 22167 26271 28494 33243 34482 42741 44334 51723 52542 66486 85482 99729 103446 114119 155169 199458 220037 228238 299187 310338 342357 440074 598374 660111 684714 798833 1027071 1299643 1320222 1540259 1597666 1980333 2054142 2396499 2599286 3080518 3081213 3898929 3960666 4620777 4792998 5940999 6162426 7189497 7797858 9097501 9241554 11696787 11881998 13862331 14378994 18195002 21568491 23393574 27292503 27724662 35090361 41586993 43136982 54585006 70180722 81877509 83173986 163755018 180650377 245632527 361300754 491265054 541951131 1083902262 1264552639 1625853393 2529105278 3251706786 3793657917 4877560179 7587315834 9755120358 11380973751 22761947502 34142921253 68285842506