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742604445025 = 521924721932
BaseRepresentation
bin10101100111001101010…
…11001001010101100001
32121222210101021110011021
422303212223021111201
544131323214220100
61325051530245441
7104436300430342
oct12634653112541
92558711243137
10742604445025
11266a33938843
12bbb08886881
1355047c8a721
1427d297500c9
15144b454ba1a
hexace6ac9561

742604445025 has 81 divisors (see below), whose sum is σ = 998134039161. Its totient is φ = 547987092480.

The previous prime is 742604445001. The next prime is 742604445073. The reversal of 742604445025 is 520544406247.

The square root of 742604445025 is 861745.

It is a perfect power (a square), and thus also a powerful number.

742604445025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 119433139281 + 623171305744 = 345591^2 + 789412^2 .

It is not a de Polignac number, because 742604445025 - 221 = 742602347873 is a prime.

It is a super-2 number, since 2×7426044450252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3847691329 + ... + 3847691521.

Almost surely, 2742604445025 is an apocalyptic number.

742604445025 is the 861745-th square number.

742604445025 is the 430873-rd centered octagonal number.

It is an amenable number.

742604445025 is a deficient number, since it is larger than the sum of its proper divisors (255529594136).

742604445025 is an equidigital number, since it uses as much as digits as its factorization.

742604445025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 43.

The spelling of 742604445025 in words is "seven hundred forty-two billion, six hundred four million, four hundred forty-five thousand, twenty-five".

Divisors: 1 5 19 25 47 95 193 235 361 475 893 965 1175 1805 2209 3667 4465 4825 9025 9071 11045 16967 18335 22325 37249 41971 45355 55225 69673 84835 91675 172349 186245 209855 226775 348365 424175 426337 707731 797449 861745 931225 1049275 1741825 1750703 2131685 3274631 3538655 3987245 4308725 8100403 8753515 10658425 13446889 16373155 17693275 19936225 33263357 40502015 43767575 67234445 81865775 82283041 153907657 166316785 202510075 336172225 411415205 632003783 769538285 831583925 1563377779 2057076025 3160018915 3847691425 7816888895 15800094575 29704177801 39084444475 148520889005 742604445025