Search a number
-
+
677985874722 = 232132149292
BaseRepresentation
bin10011101110110110001…
…10110111001100100010
32101211000000000222000200
421313123012313030202
542102003340442342
61235243514130030
766661056564162
oct11673306671442
92354000028020
10677985874722
11241594395532
12ab494120916
134bc1a710800
1424b597285a2
15129815d894c
hex9ddb1b7322

677985874722 has 54 divisors (see below), whose sum is σ = 1590765723027. Its totient is φ = 208597064832.

The previous prime is 677985874703. The next prime is 677985874817. The reversal of 677985874722 is 227478589776.

It is a happy number.

677985874722 is a `hidden beast` number, since 6 + 7 + 79 + 8 + 5 + 87 + 472 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 349873433001 + 328112441721 = 591501^2 + 572811^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=582231.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45406554 + ... + 45421482.

Almost surely, 2677985874722 is an apocalyptic number.

677985874722 is an abundant number, since it is smaller than the sum of its proper divisors (912779848305).

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

677985874722 is an equidigital number, since it uses as much as digits as its factorization.

677985874722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29892 (or 14947 counting only the distinct ones).

The product of its digits is 663828480, while the sum is 72.

Multiplying 677985874722 by its sum of digits (72), we get a square (48814982979984 = 69867722).

The spelling of 677985874722 in words is "six hundred seventy-seven billion, nine hundred eighty-five million, eight hundred seventy-four thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 14929 29858 44787 89574 134361 194077 268722 388154 582231 1164462 1746693 2523001 3493386 5046002 7569003 15138006 22707009 45414018 222875041 445750082 668625123 1337250246 2005875369 2897375533 4011750738 5794751066 8692126599 17384253198 26076379797 37665881929 52152759594 75331763858 112997645787 225995291574 338992937361 677985874722