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52132020345 = 32573157101081
BaseRepresentation
bin110000100011010011…
…111000000001111001
311222120011121000201100
4300203103320001321
51323231244122340
635541002042013
73523610601336
oct604323700171
9158504530640
1052132020345
1120122191539
12a12aaa9309
134bba68c322
14274795398d
151551b34830
hexc234f8079

52132020345 has 48 divisors (see below), whose sum is σ = 92184358032. Its totient is φ = 27247933440.

The previous prime is 52132020329. The next prime is 52132020349. The reversal of 52132020345 is 54302023125.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 996791184 + 51135229161 = 31572^2 + 226131^2 .

It is not a de Polignac number, because 52132020345 - 24 = 52132020329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52132020349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465205 + ... + 566285.

It is an arithmetic number, because the mean of its divisors is an integer number (1920507459).

Almost surely, 252132020345 is an apocalyptic number.

It is an amenable number.

52132020345 is a deficient number, since it is larger than the sum of its proper divisors (40052337687).

52132020345 is a wasteful number, since it uses less digits than its factorization.

52132020345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101322 (or 101319 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 52132020345 in words is "fifty-two billion, one hundred thirty-two million, twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 73 157 219 365 471 657 785 1095 1413 2355 3285 7065 11461 34383 57305 101081 103149 171915 303243 505405 515745 909729 1516215 4548645 7378913 15869717 22136739 36894565 47609151 66410217 79348585 110683695 142827453 238045755 332051085 714137265 1158489341 3475468023 5792446705 10426404069 17377340115 52132020345