Search a number
-
+
106270066716 = 223113433234511
BaseRepresentation
bin110001011111000110…
…0001000100000011100
3101011022010212201210220
41202332030020200130
53220120114113331
6120453024201340
710451320443252
oct1427614104034
9334263781726
10106270066716
1141083756020
1218719769250
13a0378257a8
145201a905d2
152b6e91c296
hex18be30881c

106270066716 has 48 divisors (see below), whose sum is σ = 270585573888. Its totient is φ = 32193532800.

The previous prime is 106270066699. The next prime is 106270066717. The reversal of 106270066716 is 617660072601.

106270066716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1062700667162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106270066717) 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, 335901 + ... + 570411.

It is an arithmetic number, because the mean of its divisors is an integer number (5637199456).

Almost surely, 2106270066716 is an apocalyptic number.

It is an amenable number.

106270066716 is an abundant number, since it is smaller than the sum of its proper divisors (164315507172).

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

106270066716 is a wasteful number, since it uses less digits than its factorization.

106270066716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237962 (or 237960 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 106270066716 in words is "one hundred six billion, two hundred seventy million, sixty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3433 6866 10299 13732 20598 37763 41196 75526 113289 151052 226578 234511 453156 469022 703533 938044 1407066 2579621 2814132 5159242 7738863 10318484 15477726 30955452 805076263 1610152526 2415228789 3220305052 4830457578 8855838893 9660915156 17711677786 26567516679 35423355572 53135033358 106270066716