Search a number
-
+
106187346495 = 37514965173
BaseRepresentation
bin110001011100101000…
…0100101001000111111
3101011002101020010000000
41202321100211020333
53214432430041440
6120440511205343
710446264360366
oct1427120451077
9334071203000
10106187346495
1141040a970aa
12186b5b16853
13a023652209
1451d4aba7dd
152b6752c730
hex18b942523f

106187346495 has 64 divisors (see below), whose sum is σ = 192393648000. Its totient is φ = 56252299392.

The previous prime is 106187346493. The next prime is 106187346497. The reversal of 106187346495 is 594643781601.

106187346495 is a `hidden beast` number, since 10 + 6 + 1 + 87 + 3 + 464 + 95 = 666.

It is a Cunningham number, because it is equal to 3258642-1.

It is an interprime number because it is at equal distance from previous prime (106187346493) and next prime (106187346497).

It is not a de Polignac number, because 106187346495 - 21 = 106187346493 is a prime.

It is a super-2 number, since 2×1061873464952 (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 (106187346491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1596729 + ... + 1661901.

It is an arithmetic number, because the mean of its divisors is an integer number (3006150750).

Almost surely, 2106187346495 is an apocalyptic number.

106187346495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106187346495 is a deficient number, since it is larger than the sum of its proper divisors (86206301505).

106187346495 is an frugal number, since it uses more digits than its factorization.

106187346495 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65348 (or 65330 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 106187346495 in words is "one hundred six billion, one hundred eighty-seven million, three hundred forty-six thousand, four hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 81 135 149 243 405 447 729 745 1215 1341 2187 2235 3645 4023 6705 10935 12069 20115 36207 60345 65173 108621 181035 195519 325863 325865 543105 586557 977595 1629315 1759671 2932785 5279013 8798355 9710777 15837039 26395065 29132331 47511117 48553885 79185195 87396993 142533351 145661655 237555585 262190979 436984965 712666755 786572937 1310954895 2359718811 3932864685 7079156433 11798594055 21237469299 35395782165 106187346495