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4742265668 = 22721711932
BaseRepresentation
bin1000110101010100…
…10011101101000100
3110020111102001112012
410122222103231010
534203010000133
62102323113352
7225342410300
oct43252235504
913214361465
104742265668
112013981428
12b04212858
135a763b97a
1432db70d00
151cb4e5b48
hex11aa93b44

4742265668 has 54 divisors (see below), whose sum is σ = 10230349626. Its totient is φ = 1911243264.

The previous prime is 4742265659. The next prime is 4742265709. The reversal of 4742265668 is 8665622474.

It can be written as a sum of positive squares in 3 ways, for example, as 1312757824 + 3429507844 = 36232^2 + 58562^2 .

It is a super-3 number, since 3×47422656683 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3974480 + ... + 3975672.

It is an arithmetic number, because the mean of its divisors is an integer number (189450919).

Almost surely, 24742265668 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 4742265668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115174813).

4742265668 is an abundant number, since it is smaller than the sum of its proper divisors (5488083958).

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

4742265668 is a wasteful number, since it uses less digits than its factorization.

4742265668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 1219 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 50.

The square root of 4742265668 is about 68864.1101590662. The cubic root of 4742265668 is about 1680.0748346294.

The spelling of 4742265668 in words is "four billion, seven hundred forty-two million, two hundred sixty-five thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1193 1666 2386 3332 4772 8351 16702 20281 33404 40562 58457 81124 116914 141967 233828 283934 567868 993769 1423249 1987538 2846498 3975076 5692996 9962743 19925486 24195233 39850972 48390466 69739201 96780932 139478402 169366631 278956804 338733262 677466524 1185566417 2371132834 4742265668