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68724212064 = 25329172314327
BaseRepresentation
bin100000000000001001…
…0000100000101100000
320120101111201200211120
41000000102010011200
52111221344241224
651323234212240
74652023110204
oct1000022040540
9216344650746
1068724212064
1127167031782
121139b724080
136633039051
14347d3d8b04
151bc3604779
hex1000484160

68724212064 has 96 divisors (see below), whose sum is σ = 186743128320. Its totient is φ = 22103757312.

The previous prime is 68724212059. The next prime is 68724212071. The reversal of 68724212064 is 46021242786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4789669 + ... + 4803995.

It is an arithmetic number, because the mean of its divisors is an integer number (1945240920).

Almost surely, 268724212064 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 68724212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93371564160).

68724212064 is an abundant number, since it is smaller than the sum of its proper divisors (118018916256).

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

68724212064 is a wasteful number, since it uses less digits than its factorization.

68724212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16092 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 68724212064 in words is "sixty-eight billion, seven hundred twenty-four million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 1723 2784 3446 5169 6892 10338 13784 14327 20676 27568 28654 41352 42981 49967 55136 57308 82704 85962 99934 114616 149901 165408 171924 199868 229232 299802 343848 399736 415483 458464 599604 687696 799472 830966 1199208 1246449 1375392 1598944 1661932 2398416 2492898 3323864 4796832 4985796 6647728 9971592 13295456 19943184 24685421 39886368 49370842 74056263 98741684 148112526 197483368 296225052 394966736 592450104 715877209 789933472 1184900208 1431754418 2147631627 2369800416 2863508836 4295263254 5727017672 8590526508 11454035344 17181053016 22908070688 34362106032 68724212064