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20416153265655 = 3572263105616271
BaseRepresentation
bin1001010010001100000011…
…00100000010010111110111
32200021202122211020210101220
410221012001210002113313
510133444240214000110
6111231015030521423
74205006211303600
oct451060144022767
980252584223356
1020416153265655
1165614952a7a64
122358954506273
13b5130937b724
1450820b88ada7
1525610e94c370
hex1291819025f7

20416153265655 has 48 divisors (see below), whose sum is σ = 38143527865344. Its totient is φ = 9297611480640.

The previous prime is 20416153265621. The next prime is 20416153265773. The reversal of 20416153265655 is 55656235161402.

It is not a de Polignac number, because 20416153265655 - 28 = 20416153265399 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20416153265598 and 20416153265607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52614831 + ... + 53001440.

It is an arithmetic number, because the mean of its divisors is an integer number (794656830528).

Almost surely, 220416153265655 is an apocalyptic number.

20416153265655 is a deficient number, since it is larger than the sum of its proper divisors (17727374599689).

20416153265655 is a wasteful number, since it uses less digits than its factorization.

20416153265655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105616556 (or 105616549 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 51.

The spelling of 20416153265655 in words is "twenty trillion, four hundred sixteen billion, one hundred fifty-three million, two hundred sixty-five thousand, six hundred fifty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 263 735 789 1315 1841 3945 5523 9205 12887 27615 38661 64435 193305 105616271 316848813 528081355 739313897 1584244065 2217941691 3696569485 5175197279 11089708455 15525591837 25875986395 27777079273 77627959185 83331237819 138885396365 194439554911 416656189095 583318664733 972197774555 1361076884377 2916593323665 4083230653131 6805384421885 20416153265655