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20397607009641 = 3647235592
BaseRepresentation
bin1001010001101001100000…
…00111101011110101101001
32200012222210022012101000000
410220310300013223311221
510133143244343302031
6111214310432133213
74203451500602421
oct450646007536551
980188708171000
1020397607009641
116554638435354
122355239397209
13b4c641c1bb44
1450736c6a7481
152558c66403e6
hex128d301ebd69

20397607009641 has 63 divisors (see below), whose sum is σ = 31255736812941. Its totient is φ = 13305337358904.

The previous prime is 20397607009589. The next prime is 20397607009649. The reversal of 20397607009641 is 14690070679302.

It is a happy number.

The square root of 20397607009641 is 4516371.

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

20397607009641 is a `hidden beast` number, since 2 + 0 + 397 + 60 + 70 + 0 + 96 + 41 = 666.

It is not a de Polignac number, because 20397607009641 - 219 = 20397606485353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20397607009649) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5731273020 + ... + 5731276578.

Almost surely, 220397607009641 is an apocalyptic number.

20397607009641 is the 4516371-st square number.

20397607009641 is the 2258186-th centered octagonal number.

It is an amenable number.

20397607009641 is a deficient number, since it is larger than the sum of its proper divisors (10858129803300).

20397607009641 is an frugal number, since it uses more digits than its factorization.

20397607009641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7230 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 20397607009641 in words is "twenty trillion, three hundred ninety-seven billion, six hundred seven million, nine thousand, six hundred forty-one".

Divisors: 1 3 9 27 47 81 141 243 423 729 1269 2209 3559 3807 6627 10677 11421 19881 32031 34263 59643 96093 167273 178929 288279 501819 536787 864837 1505457 1610361 2594511 4516371 7861831 12666481 13549113 23585493 37999443 40647339 70756479 113998329 121942017 212269437 341994987 595324607 636808311 1025984961 1785973821 1910424933 3077954883 5357921463 5731274799 9233864649 16073764389 27980256529 48221293167 83940769587 144663879501 251822308761 433991638503 755466926283 2266400778849 6799202336547 20397607009641