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68955561144 = 2334732695419
BaseRepresentation
bin100000000111000010…
…0100101110010111000
320120222122001110010000
41000032010211302320
52112210110424034
651402220553000
74660532412261
oct1001604456270
9216878043100
1068955561144
1127275686768
12114450b2760
13666bc4b3b2
1434a201b968
151bd8aa2599
hex100e125cb8

68955561144 has 160 divisors (see below), whose sum is σ = 196549254000. Its totient is φ = 22581877248.

The previous prime is 68955561133. The next prime is 68955561163. The reversal of 68955561144 is 44116555986.

It is a happy number.

68955561144 is a `hidden beast` number, since 6 + 89 + 5 + 556 + 1 + 1 + 4 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 12722067 + ... + 12727485.

Almost surely, 268955561144 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 68955561144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98274627000).

68955561144 is an abundant number, since it is smaller than the sum of its proper divisors (127593692856).

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

68955561144 is a wasteful number, since it uses less digits than its factorization.

68955561144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5766 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 68955561144 in words is "sixty-eight billion, nine hundred fifty-five million, five hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 269 292 324 438 538 584 648 657 807 876 1076 1314 1614 1752 1971 2152 2421 2628 3228 3942 4842 5256 5419 5913 6456 7263 7884 9684 10838 11826 14526 15768 16257 19368 19637 21676 21789 23652 29052 32514 39274 43352 43578 47304 48771 58104 58911 65028 78548 87156 97542 117822 130056 146313 157096 174312 176733 195084 235644 292626 353466 390168 395587 438939 471288 530199 585252 706932 791174 877878 1060398 1170504 1186761 1413864 1457711 1582348 1590597 1755756 2120796 2373522 2915422 3164696 3181194 3511512 3560283 4241592 4373133 4747044 5830844 6362388 7120566 8746266 9494088 10680849 11661688 12724776 13119399 14241132 17492532 21361698 26238798 28482264 32042547 34985064 39358197 42723396 52477596 64085094 78716394 85446792 104955192 106412903 118074591 128170188 157432788 212825806 236149182 256340376 314865576 319238709 425651612 472298364 638477418 851303224 944596728 957716127 1276954836 1915432254 2553909672 2873148381 3830864508 5746296762 7661729016 8619445143 11492593524 17238890286 22985187048 34477780572 68955561144