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65700513721 = 222144416661
BaseRepresentation
bin111101001100000011…
…100100011110111001
320021120210002220111001
4331030003210132321
52034023312414341
650103222005001
74514056103143
oct751403443671
9207523086431
1065700513721
1125955255427
1210896b76761
136270777c2b
1432739c3c93
151a97e2dd31
hexf4c0e47b9

65700513721 has 8 divisors (see below), whose sum is σ = 65754766088. Its totient is φ = 65646288000.

The previous prime is 65700513713. The next prime is 65700513727. The reversal of 65700513721 is 12731500756.

It can be written as a sum of positive squares in 4 ways, for example, as 27015524496 + 38684989225 = 164364^2 + 196685^2 .

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

It is a 3-Lehmer number, since φ(65700513721) divides (65700513721-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 65700513721 - 23 = 65700513713 is a prime.

It is a deceptive number, since it divides R65700513720.

It is not an unprimeable number, because it can be changed into a prime (65700513727) by changing a digit.

It is a Zeisel number, with parameters (1, 2220).

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9860131 + ... + 9866791.

It is an arithmetic number, because the mean of its divisors is an integer number (8219345761).

It is a Poulet number, since it divides 265700513720-1.

Almost surely, 265700513721 is an apocalyptic number.

It is an amenable number.

65700513721 is a deficient number, since it is larger than the sum of its proper divisors (54252367).

65700513721 is a wasteful number, since it uses less digits than its factorization.

65700513721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13323.

The product of its (nonzero) digits is 44100, while the sum is 37.

The spelling of 65700513721 in words is "sixty-five billion, seven hundred million, five hundred thirteen thousand, seven hundred twenty-one".

Divisors: 1 2221 4441 6661 9863461 14794081 29581501 65700513721