Search a number
-
+
68794418080 = 2551133805001
BaseRepresentation
bin100000000010001110…
…1111000001110100000
320120120101211112101101
41000010131320032200
52111342332334310
651334223044144
74653534622363
oct1000435701640
9216511745341
1068794418080
11271a2723583
12113bb140654
13664474a57b
1434888720da
151bc987143a
hex10047783a0

68794418080 has 48 divisors (see below), whose sum is σ = 163965146184. Its totient is φ = 27274240000.

The previous prime is 68794418059. The next prime is 68794418141. The reversal of 68794418080 is 8081449786.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56413850256 + 12380567824 = 237516^2 + 111268^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1884421 + ... + 1920580.

Almost surely, 268794418080 is an apocalyptic number.

It is an amenable number.

68794418080 is an abundant number, since it is smaller than the sum of its proper divisors (95170728104).

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

68794418080 is a wasteful number, since it uses less digits than its factorization.

68794418080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805129 (or 3805121 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 55.

The spelling of 68794418080 in words is "sixty-eight billion, seven hundred ninety-four million, four hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 3805001 7610002 15220004 19025005 30440008 38050010 60880016 76100020 121760032 152200040 304400080 429965113 608800160 859930226 1719860452 2149825565 3439720904 4299651130 6879441808 8599302260 13758883616 17198604520 34397209040 68794418080