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414656021713 = 171171130715937
BaseRepresentation
bin1100000100010110110…
…11001100010011010001
31110122022002110102011211
412002023123030103101
523243203420143323
6514253525340121
741646364013203
oct6021333142321
91418262412154
10414656021713
1114a94457243a
1268443567641
1330142b2c03b
14160d8846773
15abbd41370d
hex608b6cc4d1

414656021713 has 16 divisors (see below), whose sum is σ = 439786286784. Its totient is φ = 389608427520.

The previous prime is 414656021693. The next prime is 414656021753. The reversal of 414656021713 is 317120656414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414656021713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414656021753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26010481 + ... + 26026417.

It is an arithmetic number, because the mean of its divisors is an integer number (27486642924).

Almost surely, 2414656021713 is an apocalyptic number.

It is an amenable number.

414656021713 is a deficient number, since it is larger than the sum of its proper divisors (25130265071).

414656021713 is a wasteful number, since it uses less digits than its factorization.

414656021713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18432.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 414656021713 in words is "four hundred fourteen billion, six hundred fifty-six million, twenty-one thousand, seven hundred thirteen".

Divisors: 1 17 1171 1307 15937 19907 22219 270929 1530497 18662227 20829659 26018449 317257859 354104203 24391530689 414656021713