Search a number
-
+
1064564644 = 22111310118427
BaseRepresentation
bin111111011100111…
…111011110100100
32202012011111011011
4333130333132210
54140012032034
6253345152004
735244436003
oct7734773644
92665144134
101064564644
114a6a121a0
1225862b604
1313c724a10
14a1556c3a
15636d6864
hex3f73f7a4

1064564644 has 48 divisors (see below), whose sum is σ = 2210475456. Its totient is φ = 442224000.

The previous prime is 1064564609. The next prime is 1064564653. The reversal of 1064564644 is 4464654601.

It is a super-2 number, since 2×10645646442 = 2266595762509693472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064564597 and 1064564606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48559 + ... + 66985.

It is an arithmetic number, because the mean of its divisors is an integer number (46051572).

Almost surely, 21064564644 is an apocalyptic number.

It is an amenable number.

1064564644 is an abundant number, since it is smaller than the sum of its proper divisors (1145910812).

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

1064564644 is a wasteful number, since it uses less digits than its factorization.

1064564644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18556 (or 18554 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 1064564644 is about 32627.6668488570. Note that the first 3 decimals coincide. The cubic root of 1064564644 is about 1021.0743019156.

The spelling of 1064564644 in words is "one billion, sixty-four million, five hundred sixty-four thousand, six hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 101 143 202 286 404 572 1111 1313 2222 2626 4444 5252 14443 18427 28886 36854 57772 73708 202697 239551 405394 479102 810788 958204 1861127 2635061 3722254 5270122 7444508 10540244 20472397 24194651 40944794 48389302 81889588 96778604 266141161 532282322 1064564644