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528045257272 = 231318196729009
BaseRepresentation
bin1111010111100011111…
…00110011001000111000
31212110222101022101200211
413223301330303020320
532122414041213042
61042325230240504
753102311425661
oct7536174631070
91773871271624
10528045257272
11193a40866375
1286409356134
133aa43553270
141b7b3bd4368
15db07d39017
hex7af1f33238

528045257272 has 64 divisors (see below), whose sum is σ = 1073281809600. Its totient is φ = 242107729920.

The previous prime is 528045257227. The next prime is 528045257279. The reversal of 528045257272 is 272752540825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528045257279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18188304 + ... + 18217312.

It is an arithmetic number, because the mean of its divisors is an integer number (16770028275).

Almost surely, 2528045257272 is an apocalyptic number.

528045257272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528045257272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536640904800).

528045257272 is an abundant number, since it is smaller than the sum of its proper divisors (545236552328).

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

528045257272 is a wasteful number, since it uses less digits than its factorization.

528045257272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30176 (or 30172 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 49.

The spelling of 528045257272 in words is "five hundred twenty-eight billion, forty-five million, two hundred fifty-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 181 362 724 967 1448 1934 2353 3868 4706 7736 9412 12571 18824 25142 29009 50284 58018 100568 116036 175027 232072 350054 377117 700108 754234 1400216 1508468 2275351 3016936 4550702 5250629 9101404 10501258 18202808 21002516 28051703 42005032 56103406 68258177 112206812 136516354 224413624 273032708 364672139 546065416 729344278 1458688556 2917377112 5077358243 10154716486 20309432972 40618865944 66005657159 132011314318 264022628636 528045257272