Search a number
-
+
106784145236691 = 32133251280739773
BaseRepresentation
bin11000010001111010011111…
…000010110110001011010011
3112000002110112200110101122200
4120101322133002312023103
5102444022412140033231
61015035543055334243
731330620444165636
oct3021723702661323
9460073480411580
10106784145236691
113102a9a1146a4a
12bb87596221383
1347779177bac50
141c525473ddc1d
15c52a79b91be6
hex611e9f0b62d3

106784145236691 has 24 divisors (see below), whose sum is σ = 166159765598736. Its totient is φ = 65693106648000.

The previous prime is 106784145236689. The next prime is 106784145236711. The reversal of 106784145236691 is 196632541487601.

106784145236691 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 8 + 4 + 14 + 523 + 6 + 6 + 91 = 666.

106784145236691 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 106784145236691 - 21 = 106784145236689 is a prime.

It is a super-2 number, since 2×1067841452366912 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106784145236651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139989520 + ... + 140750253.

It is an arithmetic number, because the mean of its divisors is an integer number (6923323566614).

It is a 2-persistent number, because it is pandigital, and so is 2⋅106784145236691 = 213568290473382, but 3⋅106784145236691 = 320352435710073 is not.

Almost surely, 2106784145236691 is an apocalyptic number.

106784145236691 is a deficient number, since it is larger than the sum of its proper divisors (59375620362045).

106784145236691 is a wasteful number, since it uses less digits than its factorization.

106784145236691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280743043 (or 280743040 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 106784145236691 in words is "one hundred six trillion, seven hundred eighty-four billion, one hundred forty-five million, two hundred thirty-six thousand, six hundred ninety-one".

Divisors: 1 3 9 13 39 117 3251 9753 29259 42263 126789 380367 280739773 842219319 2526657957 3649617049 10948851147 32846553441 912685002023 2738055006069 8214165018207 11864905026299 35594715078897 106784145236691