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5352105132 = 22371155619
BaseRepresentation
bin1001111110000001…
…01010010010101100
3111210222221010000000
410333000222102230
541430114331012
62243030104300
7246426100023
oct47700522254
914728833000
105352105132
1122a713a890
1210544ab090
13673aa101a
1438ab598ba
15214d08ddc
hex13f02a4ac

5352105132 has 96 divisors (see below), whose sum is σ = 15324422400. Its totient is φ = 1621820880.

The previous prime is 5352105131. The next prime is 5352105139. The reversal of 5352105132 is 2315012535.

It is a happy number.

5352105132 is a `hidden beast` number, since 5 + 3 + 521 + 0 + 5 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5352105096 and 5352105105.

It is not an unprimeable number, because it can be changed into a prime (5352105131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68419 + ... + 124037.

It is an arithmetic number, because the mean of its divisors is an integer number (159629400).

Almost surely, 25352105132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5352105132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662211200).

5352105132 is an abundant number, since it is smaller than the sum of its proper divisors (9972317268).

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

5352105132 is a wasteful number, since it uses less digits than its factorization.

5352105132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55655 (or 55635 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5352105132 is about 73158.0831624230. The cubic root of 5352105132 is about 1749.2083637970.

Adding to 5352105132 its reverse (2315012535), we get a palindrome (7667117667).

The spelling of 5352105132 in words is "five billion, three hundred fifty-two million, one hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2187 2673 2916 3564 4374 5346 8019 8748 10692 16038 24057 32076 48114 55619 96228 111238 166857 222476 333714 500571 611809 667428 1001142 1223618 1501713 1835427 2002284 2447236 3003426 3670854 4505139 5506281 6006852 7341708 9010278 11012562 13515417 16518843 18020556 22025124 27030834 33037686 40546251 49556529 54061668 66075372 81092502 99113058 121638753 148669587 162185004 198226116 243277506 297339174 446008761 486555012 594678348 892017522 1338026283 1784035044 2676052566 5352105132