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6452042641 = 1129471572741
BaseRepresentation
bin1100000001001001…
…00101101110010001
3121122122122201121021
412000210211232101
5101203210331031
62544121355441
7315613312642
oct60044455621
917578581537
106452042641
112811012150
121300938b81
137ba92c415
14452c7d6c9
1527b67b511
hex180925b91

6452042641 has 32 divisors (see below), whose sum is σ = 7486318080. Its totient is φ = 5505427200.

The previous prime is 6452042627. The next prime is 6452042659. The reversal of 6452042641 is 1462402546.

It is a cyclic number.

It is not a de Polignac number, because 6452042641 - 211 = 6452040593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6452042597 and 6452042606.

It is not an unprimeable number, because it can be changed into a prime (6452043641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2352531 + ... + 2355271.

It is an arithmetic number, because the mean of its divisors is an integer number (233947440).

Almost surely, 26452042641 is an apocalyptic number.

It is an amenable number.

6452042641 is a deficient number, since it is larger than the sum of its proper divisors (1034275439).

6452042641 is a wasteful number, since it uses less digits than its factorization.

6452042641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985.

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 6452042641 is about 80324.6079417759. The cubic root of 6452042641 is about 1861.6544651202.

The spelling of 6452042641 in words is "six billion, four hundred fifty-two million, forty-two thousand, six hundred forty-one".

Divisors: 1 11 29 47 157 319 517 1363 1727 2741 4553 7379 14993 30151 50083 79489 81169 128827 213991 430337 874379 1417097 2353901 3735983 4733707 12479773 20225839 41095813 137277503 222484229 586549331 6452042641