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745066656 = 25323178161
BaseRepresentation
bin101100011010001…
…101000010100000
31220220222022022100
4230122031002200
53011214113111
6201533210400
724314650665
oct5432150240
91826868270
10745066656
11352630674
12189630a00
13bb48b159
1470d49a6c
1545625756
hex2c68d0a0

745066656 has 72 divisors (see below), whose sum is σ = 2125727604. Its totient is φ = 247541760.

The previous prime is 745066649. The next prime is 745066661. The reversal of 745066656 is 656660547.

It can be written as a sum of positive squares in 2 ways, for example, as 662547600 + 82519056 = 25740^2 + 9084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87216 + ... + 95376.

Almost surely, 2745066656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745066656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062863802).

745066656 is an abundant number, since it is smaller than the sum of its proper divisors (1380660948).

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

745066656 is a wasteful number, since it uses less digits than its factorization.

745066656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 745066656 is about 27295.9091440457. The cubic root of 745066656 is about 906.5638056127.

The spelling of 745066656 in words is "seven hundred forty-five million, sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 317 634 951 1268 1902 2536 2853 3804 5072 5706 7608 8161 10144 11412 15216 16322 22824 24483 30432 32644 45648 48966 65288 73449 91296 97932 130576 146898 195864 261152 293796 391728 587592 783456 1175184 2350368 2587037 5174074 7761111 10348148 15522222 20696296 23283333 31044444 41392592 46566666 62088888 82785184 93133332 124177776 186266664 248355552 372533328 745066656