Search a number
-
+
106380408316 = 22713307951967
BaseRepresentation
bin110001100010011000…
…1000011010111111100
3101011120211111200000211
41203010301003113330
53220331341031231
6120512005202204
710454130360010
oct1430461032774
9334524450024
10106380408316
114112aa70326
121874a700364
13a05464a490
1452125b4540
152b79465eb1
hex18c4c435fc

106380408316 has 48 divisors (see below), whose sum is σ = 229873616896. Its totient is φ = 41947429824.

The previous prime is 106380408293. The next prime is 106380408353. The reversal of 106380408316 is 613804083601.

It is a happy number.

It is a super-2 number, since 2×1063804083162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364236 + ... + 587731.

Almost surely, 2106380408316 is an apocalyptic number.

It is an amenable number.

106380408316 is an abundant number, since it is smaller than the sum of its proper divisors (123493208580).

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

106380408316 is a wasteful number, since it uses less digits than its factorization.

106380408316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952298 (or 952296 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 106380408316 in words is "one hundred six billion, three hundred eighty million, four hundred eight thousand, three hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 307 364 614 1228 2149 3991 4298 7982 8596 15964 27937 55874 111748 951967 1903934 3807868 6663769 12375571 13327538 24751142 26655076 49502284 86628997 173257994 292253869 346515988 584507738 1169015476 2045777083 3799300297 4091554166 7598600594 8183108332 15197201188 26595102079 53190204158 106380408316