Search a number
-
+
68143763253888 = 273278450367467
BaseRepresentation
bin11110111111001111101001…
…10011010110101010000000
322221021110222000200220102100
433133213310303112222000
532412431411343111023
6400532451311550400
720232136656436650
oct1737476463265200
9287243860626370
1068143763253888
111a792675941863
12778687452b400
132c03c108a428a
1412b826632c360
157d2897ce7c43
hex3df9f4cd6a80

68143763253888 has 96 divisors (see below), whose sum is σ = 224103745251360. Its totient is φ = 19469646641664.

The previous prime is 68143763253851. The next prime is 68143763253899. The reversal of 68143763253888 is 88835236734186.

68143763253888 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 3 + 7 + 6 + 3 + 2 + 538 + 88 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4225175670 + ... + 4225191797.

It is an arithmetic number, because the mean of its divisors is an integer number (2334414013035).

Almost surely, 268143763253888 is an apocalyptic number.

It is an amenable number.

68143763253888 is an abundant number, since it is smaller than the sum of its proper divisors (155959981997472).

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

68143763253888 is a wasteful number, since it uses less digits than its factorization.

68143763253888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450367494 (or 8450367479 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 68143763253888 in words is "sixty-eight trillion, one hundred forty-three billion, seven hundred sixty-three million, two hundred fifty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 8450367467 16900734934 25351102401 33801469868 50702204802 59152572269 67602939736 76053307203 101404409604 118305144538 135205879472 152106614406 177457716807 202808819208 236610289076 270411758944 304213228812 354915433614 405617638416 473220578152 532373150421 540823517888 608426457624 709830867228 811235276832 946441156304 1064746300842 1081647035776 1216852915248 1419661734456 1622470553664 1892882312608 2129492601684 2433705830496 2839323468912 3244941107328 3785764625216 4258985203368 4867411660992 5678646937824 7571529250432 8517970406736 9734823321984 11357293875648 17035940813472 22714587751296 34071881626944 68143763253888