Search a number
-
+
41282629592106 = 2374103412395373
BaseRepresentation
bin10010110001011110111000…
…11110001110010000101010
312102011120200102210022112010
421120233130132032100222
520402333311133421411
6223444551143500350
711460400021511460
oct1130573436162052
9172146612708463
1041282629592106
1112176957194761
124768a251576b6
131a05c20a1b626
14a2a138ac4830
154b8cc8b9e7a6
hex258bdc78e42a

41282629592106 has 32 divisors (see below), whose sum is σ = 94360565559168. Its totient is φ = 11795003357760.

The previous prime is 41282629592077. The next prime is 41282629592129. The reversal of 41282629592106 is 60129592628214.

41282629592106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16036636 + ... + 18432008.

It is an arithmetic number, because the mean of its divisors is an integer number (2948767673724).

Almost surely, 241282629592106 is an apocalyptic number.

41282629592106 is an abundant number, since it is smaller than the sum of its proper divisors (53077935967062).

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

41282629592106 is a wasteful number, since it uses less digits than its factorization.

41282629592106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805726.

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 41282629592106 in words is "forty-one trillion, two hundred eighty-two billion, six hundred twenty-nine million, five hundred ninety-two thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 410341 820682 1231023 2395373 2462046 2872387 4790746 5744774 7186119 8617161 14372238 16767611 17234322 33535222 50302833 100605666 982919752193 1965839504386 2948759256579 5897518513158 6880438265351 13760876530702 20641314796053 41282629592106