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20680538427396 = 2232463216372
BaseRepresentation
bin1001011001111000100000…
…01001011001000000000100
32201020001002021120120200100
410230330100021121000010
510202312220314134041
6111552301434244100
74233056010143451
oct454742011310004
981201067516610
1020680538427396
116653626890131
1223a003a586630
13b70221793c33
14516d2c996828
1525ce355cb6b6
hex12cf10259004

20680538427396 has 81 divisors (see below), whose sum is σ = 52420978612821. Its totient is φ = 6874422043104.

The previous prime is 20680538427391. The next prime is 20680538427397. The reversal of 20680538427396 is 69372483508602.

It is a happy number.

The square root of 20680538427396 is 4547586.

It is a perfect power (a square), and thus also a powerful number.

20680538427396 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 0 + 538 + 4 + 2 + 7 + 3 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 626836392900 + 20053702034496 = 791730^2 + 4478136^2 .

It is not an unprimeable number, because it can be changed into a prime (20680538427391) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12633193090 + ... + 12633194726.

Almost surely, 220680538427396 is an apocalyptic number.

20680538427396 is the 4547586-th square number.

It is an amenable number.

20680538427396 is an abundant number, since it is smaller than the sum of its proper divisors (31740440185425).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20680538427396 is an frugal number, since it uses more digits than its factorization.

20680538427396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 20680538427396 in words is "twenty trillion, six hundred eighty billion, five hundred thirty-eight million, four hundred twenty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 463 926 1389 1637 1852 2778 3274 4167 4911 5556 6548 8334 9822 14733 16668 19644 29466 58932 214369 428738 643107 757931 857476 1286214 1515862 1929321 2273793 2572428 2679769 3031724 3858642 4547586 5359538 6821379 7717284 8039307 9095172 10719076 13642758 16078614 24117921 27285516 32157228 48235842 96471684 350922053 701844106 1052766159 1240733047 1403688212 2105532318 2481466094 3158298477 3722199141 4211064636 4962932188 6316596954 7444398282 11166597423 12633193908 14888796564 22333194846 44666389692 574459400761 1148918801522 1723378202283 2297837603044 3446756404566 5170134606849 6893512809132 10340269213698 20680538427396