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52339467696432 = 24372192394900501
BaseRepresentation
bin10111110011010001110110…
…11000010011100100110000
320212022121022111100212010120
423321220323120103210300
523330012212212241212
6303152230341130240
714011254541634100
oct1371507330234460
9225277274325116
1052339467696432
111574a053033704
125a538a59b9980
13232878a7b2a77
14ccd35ac03200
1560b70a1d888c
hex2f9a3b613930

52339467696432 has 240 divisors, whose sum is σ = 166256391052800. Its totient is φ = 14107794624000.

The previous prime is 52339467696431. The next prime is 52339467696479. The reversal of 52339467696432 is 23469676493325.

52339467696432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×523394676964323 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (52339467696431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8230182 + ... + 13130682.

It is an arithmetic number, because the mean of its divisors is an integer number (692734962720).

Almost surely, 252339467696432 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 52339467696432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83128195526400).

52339467696432 is an abundant number, since it is smaller than the sum of its proper divisors (113916923356368).

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

52339467696432 is a wasteful number, since it uses less digits than its factorization.

52339467696432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900784 (or 4900771 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 69.

The spelling of 52339467696432 in words is "fifty-two trillion, three hundred thirty-nine billion, four hundred sixty-seven million, six hundred ninety-six thousand, four hundred thirty-two".