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42631409677 = 174138160601
BaseRepresentation
bin100111101101000001…
…111011000000001101
311002001001111222222011
4213231001323000031
51144302120102202
631330135021221
73036306001063
oct475501730015
9132031458864
1042631409677
111709735708a
12831920a811
1340352a1ccc
1420c5c68033
151197a1dbd7
hex9ed07b00d

42631409677 has 8 divisors (see below), whose sum is σ = 45140975352. Its totient is φ = 40122048000.

The previous prime is 42631409617. The next prime is 42631409687. The reversal of 42631409677 is 77690413624.

It can be written as a sum of positive squares in 4 ways, for example, as 25193943076 + 17437466601 = 158726^2 + 132051^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42631409677 - 219 = 42630885389 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42631409677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42631409617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673177 + ... + 733777.

It is an arithmetic number, because the mean of its divisors is an integer number (5642621919).

Almost surely, 242631409677 is an apocalyptic number.

It is an amenable number.

42631409677 is a deficient number, since it is larger than the sum of its proper divisors (2509565675).

42631409677 is a wasteful number, since it uses less digits than its factorization.

42631409677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101999.

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 42631409677 in words is "forty-two billion, six hundred thirty-one million, four hundred nine thousand, six hundred seventy-seven".

Divisors: 1 17 41381 60601 703477 1030217 2507729981 42631409677