Search a number
-
+
264020642442 = 232176551131707
BaseRepresentation
bin1111010111100011011…
…0110100101010001010
3221020111001102021210200
43311320312310222022
513311203241024232
6321142302353030
725034451301224
oct3657066645212
9836431367720
10264020642442
11a1a74851457
1243203b8b776
131bb87a4771b
14cac893d414
156d03b7877c
hex3d78db4a8a

264020642442 has 48 divisors (see below), whose sum is σ = 605791472832. Its totient is φ = 82816732800.

The previous prime is 264020642411. The next prime is 264020642447. The reversal of 264020642442 is 244246020462.

264020642442 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 2 + 0 + 642 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 264020642397 and 264020642406.

It is not an unprimeable number, because it can be changed into a prime (264020642447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1938753 + ... + 2070459.

It is an arithmetic number, because the mean of its divisors is an integer number (12620655684).

Almost surely, 2264020642442 is an apocalyptic number.

264020642442 is an abundant number, since it is smaller than the sum of its proper divisors (341770830390).

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

264020642442 is a wasteful number, since it uses less digits than its factorization.

264020642442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138283 (or 138280 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 264020642442 in words is "two hundred sixty-four billion, twenty million, six hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 6551 13102 19653 39306 58959 111367 117918 131707 222734 263414 334101 395121 668202 790242 1002303 1185363 2004606 2239019 2370726 4478038 6717057 13434114 20151171 40302342 862812557 1725625114 2588437671 5176875342 7765313013 14667813469 15530626026 29335626938 44003440407 88006880814 132010321221 264020642442