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65212412401 = 614549235009
BaseRepresentation
bin111100101110111101…
…100111000111110001
320020022202122210100101
4330232331213013301
52032023334144101
645542544152401
74466011234213
oct745675470761
9206282583311
1065212412401
1125724785704
121077b608701
1361c35ca996
143228c485b3
151a6a166401
hexf2ef671f1

65212412401 has 8 divisors (see below), whose sum is σ = 66296321000. Its totient is φ = 64128983040.

The previous prime is 65212412381. The next prime is 65212412423. The reversal of 65212412401 is 10421421256.

It can be written as a sum of positive squares in 4 ways, for example, as 5148206001 + 60064206400 = 71751^2 + 245080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 65212412401 - 29 = 65212411889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 65212412401.

It is not an unprimeable number, because it can be changed into a prime (65212412801) 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 7 ways as a sum of consecutive naturals, for example, 159985 + ... + 394993.

It is an arithmetic number, because the mean of its divisors is an integer number (8287040125).

Almost surely, 265212412401 is an apocalyptic number.

65212412401 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

65212412401 is a deficient number, since it is larger than the sum of its proper divisors (1083908599).

65212412401 is a wasteful number, since it uses less digits than its factorization.

65212412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239619.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 65212412401 its reverse (10421421256), we get a palindrome (75633833657).

The spelling of 65212412401 in words is "sixty-five billion, two hundred twelve million, four hundred twelve thousand, four hundred one".

Divisors: 1 61 4549 235009 277489 14335549 1069055941 65212412401