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68826381876 = 223274310216221
BaseRepresentation
bin100000000011001011…
…1110011111000110100
320120122121222110110200
41000012113303320310
52111424023210001
651341324120500
74654403410320
oct1000627637064
9216577873420
1068826381876
112720977543a
1211409996130
13664b25c365
14348cbd2980
151bcc587086
hex10065f3e34

68826381876 has 144 divisors (see below), whose sum is σ = 203687772288. Its totient is φ = 19185465600.

The previous prime is 68826381829. The next prime is 68826381893. The reversal of 68826381876 is 67818362886.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11060446 + ... + 11066666.

Almost surely, 268826381876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68826381876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101843886144).

68826381876 is an abundant number, since it is smaller than the sum of its proper divisors (134861390412).

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

68826381876 is a wasteful number, since it uses less digits than its factorization.

68826381876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302 (or 7297 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 68826381876 in words is "sixty-eight billion, eight hundred twenty-six million, three hundred eighty-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1021 1204 1548 1806 2042 2709 3063 3612 4084 5418 6126 6221 7147 9189 10836 12252 12442 14294 18378 18663 21441 24884 28588 36756 37326 42882 43547 43903 55989 64323 74652 85764 87094 87806 111978 128646 130641 131709 174188 175612 223956 257292 261282 263418 267503 307321 391923 395127 522564 526836 535006 614642 783846 790254 802509 921963 1070012 1229284 1567692 1580508 1605018 1843926 1872521 2407527 2765889 3210036 3687852 3745042 4815054 5531778 5617563 6351641 7490084 9630108 11063556 11235126 12703282 16852689 19054923 22470252 25406564 33705378 38109846 44461487 57164769 67410756 76219692 88922974 114329538 133384461 177845948 228659076 266768922 273120563 400153383 533537844 546241126 800306766 819361689 1092482252 1600613532 1638723378 1911843941 2458085067 3277446756 3823687882 4916170134 5735531823 7647375764 9832340268 11471063646 17206595469 22942127292 34413190938 68826381876