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745745821272 = 233261723397177
BaseRepresentation
bin10101101101000011110…
…10100010111001011000
32122021220022022220020200
422312201322202321120
544204241412240042
61330331345022200
7104610163614564
oct12664172427130
92567808286220
10745745821272
112682a6090261
12100644924960
1355428a4183a
1428146a386a4
15145ea219c4c
hexada1ea2e58

745745821272 has 96 divisors (see below), whose sum is σ = 2024148625200. Its totient is φ = 248038382592.

The previous prime is 745745821253. The next prime is 745745821277. The reversal of 745745821272 is 272128547547.

745745821272 is a `hidden beast` number, since 7 + 4 + 57 + 4 + 582 + 1 + 2 + 7 + 2 = 666.

745745821272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7457458212722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745745821277) 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, 103904148 + ... + 103911324.

Almost surely, 2745745821272 is an apocalyptic number.

745745821272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

745745821272 is an abundant number, since it is smaller than the sum of its proper divisors (1278402803928).

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

745745821272 is a wasteful number, since it uses less digits than its factorization.

745745821272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10145 (or 10138 counting only the distinct ones).

The product of its digits is 8780800, while the sum is 54.

The spelling of 745745821272 in words is "seven hundred forty-five billion, seven hundred forty-five million, eight hundred twenty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 617 1234 1851 2339 2468 3702 4678 4936 5553 7017 7177 7404 9356 11106 14034 14354 14808 18712 21051 21531 22212 28068 28708 42102 43062 44424 56136 57416 64593 84204 86124 129186 168408 172248 258372 516744 1443163 2886326 4329489 4428209 5772652 8658978 8856418 11545304 12988467 13284627 16787003 17317956 17712836 25976934 26569254 33574006 34635912 35425672 39853881 50361009 51953868 53138508 67148012 79707762 100722018 103907736 106277016 134296024 151083027 159415524 201444036 302166054 318831048 402888072 604332108 1208664216 10357580851 20715161702 31072742553 41430323404 62145485106 82860646808 93218227659 124290970212 186436455318 248581940424 372872910636 745745821272