Search a number
-
+
107620270080 = 21635831319
BaseRepresentation
bin110010000111010101…
…0110000000000000000
3101021210020112011121220
41210032222300000000
53230401242120310
6121235015515040
710526634126231
oct1441652600000
9337706464556
10107620270080
1141706922874
1218a35988a80
13a1c148a5ab
1452cd11d088
152bed227670
hex190eab0000

107620270080 has 272 divisors, whose sum is σ = 348795659520. Its totient is φ = 28331474944.

The previous prime is 107620269973. The next prime is 107620270111. The reversal of 107620270080 is 80072026701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81591661 + ... + 81592979.

Almost surely, 2107620270080 is an apocalyptic number.

107620270080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107620270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174397829760).

107620270080 is an abundant number, since it is smaller than the sum of its proper divisors (241175389440).

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

107620270080 is an frugal number, since it uses more digits than its factorization.

107620270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

Adding to 107620270080 its reverse (80072026701), we get a palindrome (187692296781).

The spelling of 107620270080 in words is "one hundred seven billion, six hundred twenty million, two hundred seventy thousand, eighty".