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20703353416065 = 3252916099859937
BaseRepresentation
bin1001011010100011000000…
…00001101010100110000001
32201022012222022000002102200
410231101200001222212001
510203200431433303230
6112010553402503413
74234524253303425
oct455214001524601
981265868002380
1020703353416065
1166622742a4871
1223a4547204b69
13b72419416228
14518094a84b85
1525d81d543160
hex12d46006a981

20703353416065 has 48 divisors (see below), whose sum is σ = 37146330421200. Its totient is φ = 10654410203136.

The previous prime is 20703353416027. The next prime is 20703353416079. The reversal of 20703353416065 is 56061435330702.

It is a happy number.

20703353416065 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 3 + 3 + 5 + 34 + 1 + 606 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3908101979664 + 16795251436401 = 1976892^2 + 4098201^2 .

It is not a de Polignac number, because 20703353416065 - 27 = 20703353415937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20703353416065.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830224 + ... + 7029713.

It is an arithmetic number, because the mean of its divisors is an integer number (773881883775).

Almost surely, 220703353416065 is an apocalyptic number.

It is an amenable number.

20703353416065 is a deficient number, since it is larger than the sum of its proper divisors (16442977005135).

20703353416065 is a wasteful number, since it uses less digits than its factorization.

20703353416065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9861586 (or 9861583 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

Adding to 20703353416065 its reverse (56061435330702), we get a palindrome (76764788746767).

The spelling of 20703353416065 in words is "twenty trillion, seven hundred three billion, three hundred fifty-three million, four hundred sixteen thousand, sixty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 1609 4827 8045 14481 24135 46661 72405 139983 233305 419949 699915 2099745 9859937 29579811 49299685 88739433 147899055 285938173 443697165 857814519 1429690865 2573443557 4289072595 12867217785 15864638633 47593915899 79323193165 142781747697 237969579495 460074520357 713908738485 1380223561071 2300372601785 4140670683213 6901117805355 20703353416065