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20688096762693 = 329739759691953
BaseRepresentation
bin1001011010000110100101…
…01010001001101101000101
32201020202121000220210111200
410231003102222021231011
510202423210232401233
6111555551435453113
74233444216011433
oct455032252115505
981222530823450
1020688096762693
116656855315328
1223a15a98b7199
13b70b57668299
14517448731d53
1525d228e33313
hex12d0d2a89b45

20688096762693 has 24 divisors (see below), whose sum is σ = 30266924659608. Its totient is φ = 13615495483392.

The previous prime is 20688096762667. The next prime is 20688096762701. The reversal of 20688096762693 is 39626769088602.

20688096762693 is a `hidden beast` number, since 206 + 8 + 8 + 0 + 96 + 76 + 269 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7779647796804 + 12908448965889 = 2789202^2 + 3592833^2 .

It is not a de Polignac number, because 20688096762693 - 212 = 20688096758597 is a prime.

It is a super-2 number, since 2×206880967626932 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20688091762693) 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, 29499396 + ... + 30192557.

It is an arithmetic number, because the mean of its divisors is an integer number (1261121860817).

Almost surely, 220688096762693 is an apocalyptic number.

It is an amenable number.

20688096762693 is a deficient number, since it is larger than the sum of its proper divisors (9578827896915).

20688096762693 is a wasteful number, since it uses less digits than its factorization.

20688096762693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59692453 (or 59692450 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 20688096762693 in words is "twenty trillion, six hundred eighty-eight billion, ninety-six million, seven hundred sixty-two thousand, six hundred ninety-three".

Divisors: 1 3 9 97 291 397 873 1191 3573 38509 115527 346581 59691953 179075859 537227577 5790119441 17370358323 23697705341 52111074969 71093116023 213279348069 2298677418077 6896032254231 20688096762693