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745537268025 = 325211252332
BaseRepresentation
bin10101101100101010111…
…10111110100100111001
32122021100202220021222100
422312111132332210321
544203330020034100
61330254535014013
7104602052134614
oct12662536764471
92567322807870
10745537268025
112681a9396100
121005a6b0a309
13553c4781354
142812706b17b
15145d6c71400
hexad957be939

745537268025 has 81 divisors (see below), whose sum is σ = 1468051043277. Its totient is φ = 361403539200.

The previous prime is 745537268023. The next prime is 745537268029. The reversal of 745537268025 is 520862735547.

The square root of 745537268025 is 863445.

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

745537268025 is a `hidden beast` number, since 7 + 4 + 5 + 537 + 2 + 6 + 80 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140856845481 + 604680422544 = 375309^2 + 777612^2 .

It is not a de Polignac number, because 745537268025 - 21 = 745537268023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (745537268023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 142465809 + ... + 142471041.

Almost surely, 2745537268025 is an apocalyptic number.

745537268025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

745537268025 is the 863445-th square number.

745537268025 is the 431723-rd centered octagonal number.

It is an amenable number.

745537268025 is a deficient number, since it is larger than the sum of its proper divisors (722513775252).

745537268025 is an equidigital number, since it uses as much as digits as its factorization.

745537268025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 745537268025 in words is "seven hundred forty-five billion, five hundred thirty-seven million, two hundred sixty-eight thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5233 5445 9075 15699 26165 27225 47097 57563 78495 130825 172689 235485 287815 392475 518067 633193 863445 1177425 1439075 1899579 2590335 3165965 4317225 5698737 9497895 12951675 15829825 27384289 28493685 47489475 82152867 136921445 142468425 246458601 301227179 410764335 684607225 903681537 1232293005 1506135895 2053821675 2711044611 3313498969 4518407685 6161465025 7530679475 9940496907 13555223055 16567494845 22592038425 29821490721 49702484535 67776115275 82837474225 149107453605 248512422675 745537268025