Search a number
-
+
107799832784 = 2477117217877
BaseRepresentation
bin110010001100101011…
…1101110100011010000
3101022020202101220100102
41210121113232203100
53231233224122114
6121304512311532
710534244313530
oct1443127564320
9338222356312
10107799832784
11417992169a6
1218a85b425a8
13a21c73a407
145308d014c0
152c0dd962de
hex19195ee8d0

107799832784 has 80 divisors (see below), whose sum is σ = 242232996096. Its totient is φ = 45516979200.

The previous prime is 107799832783. The next prime is 107799832813. The reversal of 107799832784 is 487238997701.

It is a super-2 number, since 2×1077998327842 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107799832784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107799832783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13681454 + ... + 13689330.

Almost surely, 2107799832784 is an apocalyptic number.

107799832784 is a gapful number since it is divisible by the number (14) 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 107799832784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121116498048).

107799832784 is an abundant number, since it is smaller than the sum of its proper divisors (134433163312).

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

107799832784 is a wasteful number, since it uses less digits than its factorization.

107799832784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9684 (or 9678 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 65.

The spelling of 107799832784 in words is "one hundred seven billion, seven hundred ninety-nine million, eight hundred thirty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1721 1988 3442 3976 6884 7877 7952 12047 13768 15754 24094 27536 31508 48188 55139 63016 96376 110278 122191 126032 192752 220556 244382 441112 488764 559267 855337 882224 977528 1118534 1710674 1955056 2237068 3421348 3914869 4474136 6842696 7829738 8948272 13556317 13685392 15659476 27112634 31318952 54225268 62637904 94894219 108450536 189788438 216901072 379576876 759153752 962498507 1518307504 1924997014 3849994028 6737489549 7699988056 13474979098 15399976112 26949958196 53899916392 107799832784