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2056565040201 = 337294710179043
BaseRepresentation
bin11101111011010100110…
…101000010010001001001
321021121100112221121201000
4131323110311002101021
5232143321122241301
64212434542045213
7301403412261510
oct35732465022111
97247315847630
102056565040201
117232033947a1
122926ab579809
1311bc19478069
1471777075677
1538768dbe786
hex1ded4d42449

2056565040201 has 128 divisors (see below), whose sum is σ = 3715194470400. Its totient is φ = 1099505836800.

The previous prime is 2056565040181. The next prime is 2056565040203. The reversal of 2056565040201 is 1020405656502.

2056565040201 is a `hidden beast` number, since 2 + 0 + 56 + 565 + 0 + 40 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 2056565040201 - 218 = 2056564778057 is a prime.

It is a super-2 number, since 2×20565650402012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2056565040203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25978786 + ... + 26057828.

It is an arithmetic number, because the mean of its divisors is an integer number (29024956800).

Almost surely, 22056565040201 is an apocalyptic number.

2056565040201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2056565040201 is a deficient number, since it is larger than the sum of its proper divisors (1658629430199).

2056565040201 is a wasteful number, since it uses less digits than its factorization.

2056565040201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79236 (or 79230 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2056565040201 in words is "two trillion, fifty-six billion, five hundred sixty-five million, forty thousand, two hundred one".

Divisors: 1 3 7 9 21 27 29 47 63 87 101 141 189 203 261 303 329 423 609 707 783 909 987 1269 1363 1827 2121 2727 2929 2961 4089 4747 5481 6363 8787 8883 9541 12267 14241 19089 20503 26361 28623 33229 36801 42723 61509 79043 79083 85869 99687 128169 137663 184527 237129 257607 299061 412989 553301 553581 711387 897183 963641 1238967 1659903 2134161 2292247 2890923 3715021 3716901 4979709 6876741 7983343 8672769 11145063 14939127 16045729 20630223 23950029 26005147 26018307 33435189 48137187 55883401 61890669 71850087 78015441 100305567 107735609 144411561 167650203 215550261 231516947 234046323 323206827 375217121 433234683 502950609 694550841 702138969 754149263 969620481 1125651363 1508851827 1620618629 2083652523 2262447789 2626519847 2908861443 3376954089 4861855887 6250957569 6787343367 7879559541 10130862267 10881296509 14585567661 20362030101 23638678623 32643889527 43756702983 70916035869 76169075563 97931668581 228507226689 293795005743 685521680067 2056565040201