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2464106014642 = 217533673725963
BaseRepresentation
bin100011110110111000001…
…010011110011110110010
322201120021210012011220111
4203312320022132132302
5310332442114432032
65123554503331534
7343011562352656
oct43667012363662
98646253164814
102464106014642
11870026673878
12339688150baa
1314b4971bc64c
1487398974a66
154416c840c47
hex23db829e7b2

2464106014642 has 32 divisors (see below), whose sum is σ = 3998287256832. Its totient is φ = 1134600140544.

The previous prime is 2464106014633. The next prime is 2464106014753.

2464106014642 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2464106014595 and 2464106014604.

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, 1201648 + ... + 2524315.

It is an arithmetic number, because the mean of its divisors is an integer number (124946476776).

Almost surely, 22464106014642 is an apocalyptic number.

2464106014642 is a deficient number, since it is larger than the sum of its proper divisors (1534181242190).

2464106014642 is a wasteful number, since it uses less digits than its factorization.

2464106014642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726402.

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 2464106014642 in words is "two trillion, four hundred sixty-four billion, one hundred six million, fourteen thousand, six hundred forty-two".

Divisors: 1 2 17 34 53 106 367 734 901 1802 6239 12478 19451 38902 330667 661334 3725963 7451926 63341371 126682742 197476039 394952078 1367428421 2734856842 3357092663 6714185326 23246283157 46492566314 72473706313 144947412626 1232053007321 2464106014642