Search a number
-
+
34425664564 = 22171015012473
BaseRepresentation
bin100000000011111011…
…011111010000110100
310021212011221221211111
4200003323133100310
51031000432231224
623452005244404
72326046214664
oct400373372064
9107764857744
1034425664564
1113666432355
126809103704
133328242925
1419481241a4
15d67431d94
hex803edf434

34425664564 has 24 divisors (see below), whose sum is σ = 64420315848. Its totient is φ = 16039910400.

The previous prime is 34425664541. The next prime is 34425664571. The reversal of 34425664564 is 46546652443.

It can be written as a sum of positive squares in 4 ways, for example, as 13009683600 + 21415980964 = 114060^2 + 146342^2 .

It is a congruent number.

It is an unprimeable number.

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, 2499369 + ... + 2513104.

It is an arithmetic number, because the mean of its divisors is an integer number (2684179827).

Almost surely, 234425664564 is an apocalyptic number.

34425664564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34425664564 is a deficient number, since it is larger than the sum of its proper divisors (29994651284).

34425664564 is a wasteful number, since it uses less digits than its factorization.

34425664564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012595 (or 5012593 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 49.

The spelling of 34425664564 in words is "thirty-four billion, four hundred twenty-five million, six hundred sixty-four thousand, five hundred sixty-four".

Divisors: 1 2 4 17 34 68 101 202 404 1717 3434 6868 5012473 10024946 20049892 85212041 170424082 340848164 506259773 1012519546 2025039092 8606416141 17212832282 34425664564