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20968746808725 = 335231064810087
BaseRepresentation
bin1001100010010001010101…
…01101000111010110010101
32202020121000000111022112000
410301020222231013112111
510222022443140334400
6112332524224145513
74262641044025122
oct461105255072625
982217000438460
1020968746808725
116754882a12831
122427a72a68299
13b9146268b191
14526c6da41749
152656a297c600
hex13122ab47595

20968746808725 has 24 divisors (see below), whose sum is σ = 38520364509120. Its totient is φ = 11183331630960.

The previous prime is 20968746808721. The next prime is 20968746808787. The reversal of 20968746808725 is 52780864786902.

20968746808725 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 87 + 468 + 0 + 87 + 2 + 5 = 666.

It is not a de Polignac number, because 20968746808725 - 22 = 20968746808721 is a prime.

It is a super-3 number, since 3×209687468087253 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20968746808721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15532404369 + ... + 15532405718.

It is an arithmetic number, because the mean of its divisors is an integer number (1605015187880).

Almost surely, 220968746808725 is an apocalyptic number.

20968746808725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20968746808725 is a deficient number, since it is larger than the sum of its proper divisors (17551617700395).

20968746808725 is a wasteful number, since it uses less digits than its factorization.

20968746808725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31064810106 (or 31064810095 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 20968746808725 in words is "twenty trillion, nine hundred sixty-eight billion, seven hundred forty-six million, eight hundred eight thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 31064810087 93194430261 155324050435 279583290783 465972151305 776620252175 838749872349 1397916453915 2329860756525 4193749361745 6989582269575 20968746808725