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20307234702769 = 725920633404893
BaseRepresentation
bin1001001111000001001011…
…00000101100010110110001
32122220100112002202111212021
410213200211200230112301
510130203204040442034
6111105003112031441
74164102130634200
oct447404540542661
978810462674767
1020307234702769
11651a282643633
12233b817992581
13b43c6bc33251
14502c38173237
152533877706b4
hex12782582c5b1

20307234702769 has 24 divisors (see below), whose sum is σ = 24034738158720. Its totient is φ = 17102881472544.

The previous prime is 20307234702763. The next prime is 20307234702779. The reversal of 20307234702769 is 96720743270302.

It is a happy number.

It is not a de Polignac number, because 20307234702769 - 221 = 20307232605617 is a prime.

It is a super-3 number, since 3×203072347027693 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20307234702763) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4261687 + ... + 7666579.

It is an arithmetic number, because the mean of its divisors is an integer number (1001447423280).

Almost surely, 220307234702769 is an apocalyptic number.

It is an amenable number.

20307234702769 is a deficient number, since it is larger than the sum of its proper divisors (3727503455951).

20307234702769 is a wasteful number, since it uses less digits than its factorization.

20307234702769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407029 (or 3407022 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 52.

The spelling of 20307234702769 in words is "twenty trillion, three hundred seven billion, two hundred thirty-four million, seven hundred two thousand, seven hundred sixty-nine".

Divisors: 1 7 49 59 413 2063 2891 14441 101087 121717 852019 3404893 5964133 23834251 166839757 200888687 1406220809 7024294259 9843545663 49170059813 344190418691 414433361281 2901033528967 20307234702769