Search a number
-
+
107128312736 = 256315305483
BaseRepresentation
bin110001111000101011…
…0000101001110100000
3101020111221211011000112
41203301112011032200
53223344322001421
6121114123310452
710511511430244
oct1436126051640
9336457734015
10107128312736
1141484159a55
121891907b428
13a143590183
145283a5c424
152bbee4c45b
hex18f15853a0

107128312736 has 24 divisors (see below), whose sum is σ = 211243150944. Its totient is φ = 53479258560.

The previous prime is 107128312691. The next prime is 107128312751. The reversal of 107128312736 is 637213821701.

It is a super-3 number, since 3×1071283127363 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 107128312693 and 107128312702.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2632550 + ... + 2672933.

It is an arithmetic number, because the mean of its divisors is an integer number (8801797956).

Almost surely, 2107128312736 is an apocalyptic number.

107128312736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107128312736 is a deficient number, since it is larger than the sum of its proper divisors (104114838208).

107128312736 is an equidigital number, since it uses as much as digits as its factorization.

107128312736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306124 (or 5306116 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 107128312736 in words is "one hundred seven billion, one hundred twenty-eight million, three hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 631 1262 2524 5048 10096 20192 5305483 10610966 21221932 42443864 84887728 169775456 3347759773 6695519546 13391039092 26782078184 53564156368 107128312736