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52322022432 = 2532581331253
BaseRepresentation
bin110000101110101000…
…101011010000100000
312000001102010010120200
4300232220223100200
51324123414204212
640011510305200
73531405565311
oct605650532040
9160042103520
1052322022432
112020a465959
12a182658200
134c1ab559b4
142764c92608
1515636666dc
hexc2ea2b420

52322022432 has 72 divisors (see below), whose sum is σ = 148821109164. Its totient is φ = 17437115904.

The previous prime is 52322022383. The next prime is 52322022439. The reversal of 52322022432 is 23422022325.

52322022432 is a `hidden beast` number, since 5 + 2 + 3 + 220 + 2 + 2 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51019967376 + 1302055056 = 225876^2 + 36084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×523220224322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52322022396 and 52322022405.

It is not an unprimeable number, because it can be changed into a prime (52322022439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1658518 + ... + 1689770.

Almost surely, 252322022432 is an apocalyptic number.

It is an amenable number.

52322022432 is an abundant number, since it is smaller than the sum of its proper divisors (96499086732).

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

52322022432 is a wasteful number, since it uses less digits than its factorization.

52322022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37082 (or 37071 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 52322022432 its reverse (23422022325), we get a palindrome (75744044757).

The spelling of 52322022432 in words is "fifty-two billion, three hundred twenty-two million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5813 11626 17439 23252 31253 34878 46504 52317 62506 69756 93008 93759 104634 125012 139512 186016 187518 209268 250024 279024 281277 375036 418536 500048 558048 562554 750072 837072 1000096 1125108 1500144 1674144 2250216 3000288 4500432 9000864 181673689 363347378 545021067 726694756 1090042134 1453389512 1635063201 2180084268 2906779024 3270126402 4360168536 5813558048 6540252804 8720337072 13080505608 17440674144 26161011216 52322022432