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527249482272 = 2532427872
BaseRepresentation
bin1111010110000101000…
…01001010001000100000
31212101220220220211121200
413223002201022020200
532114301331413042
61042114242121200
753043506440152
oct7530241121040
91771826824550
10527249482272
11193672650887
1286226950200
133a94771c496
141b73a248ad2
15daad048c4c
hex7ac284a220

527249482272 has 54 divisors (see below), whose sum is σ = 1499400758583. Its totient is φ = 175745719872.

The previous prime is 527249482271. The next prime is 527249482303. The reversal of 527249482272 is 272284942725.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

527249482272 is a `hidden beast` number, since 5 + 2 + 7 + 2 + 494 + 82 + 2 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 263624741136 + 263624741136 = 513444^2 + 513444^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=513444.

It is not an unprimeable number, because it can be changed into a prime (527249482271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12301263 + ... + 12344049.

Almost surely, 2527249482272 is an apocalyptic number.

It is an amenable number.

527249482272 is an abundant number, since it is smaller than the sum of its proper divisors (972151276311).

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

527249482272 is an frugal number, since it uses more digits than its factorization.

527249482272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85590 (or 42792 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 527249482272 in words is "five hundred twenty-seven billion, two hundred forty-nine million, four hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42787 85574 128361 171148 256722 342296 385083 513444 684592 770166 1026888 1369184 1540332 2053776 3080664 4107552 6161328 12322656 1830727369 3661454738 5492182107 7322909476 10984364214 14645818952 16476546321 21968728428 29291637904 32953092642 43937456856 58583275808 65906185284 87874913712 131812370568 175749827424 263624741136 527249482272