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20566734883201 = 13231632239412011
BaseRepresentation
bin1001010110100100100001…
…11011010100100110000001
32200211011100010010112120001
410223102100323110212001
510143431133112230301
6111424121053320001
74221616602033043
oct453222073244601
980734303115501
1020566734883201
11660a337738a71
122381b79a96001
13b6258628b680
1451161459ba93
15259ec4617c01
hex12b490ed4981

20566734883201 has 64 divisors (see below), whose sum is σ = 23394298281984. Its totient is φ = 17938900742400.

The previous prime is 20566734883181. The next prime is 20566734883207. The reversal of 20566734883201 is 10238843766502.

It is a cyclic number.

It is not a de Polignac number, because 20566734883201 - 27 = 20566734883073 is a prime.

It is a super-2 number, since 2×205667348832012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20566734883207) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10227117286 + ... + 10227119296.

It is an arithmetic number, because the mean of its divisors is an integer number (365535910656).

Almost surely, 220566734883201 is an apocalyptic number.

It is an amenable number.

20566734883201 is a deficient number, since it is larger than the sum of its proper divisors (2827563398783).

20566734883201 is a wasteful number, since it uses less digits than its factorization.

20566734883201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374.

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 20566734883201 in words is "twenty trillion, five hundred sixty-six billion, seven hundred thirty-four million, eight hundred eighty-three thousand, two hundred one".

Divisors: 1 13 23 163 223 299 941 2011 2119 2899 3749 5129 12233 21643 26143 36349 46253 48737 66677 153383 209843 281359 327793 448453 472537 601289 836027 1892351 1993979 2727959 3527809 4261309 4826389 5829889 7539239 10314419 10868351 24600563 34204409 43524073 45861517 62743057 73097839 98010107 134087447 308453213 421994273 444657317 565812949 786701407 950271907 1681250297 4009891769 5485925549 7094423899 9705868279 10227118291 21856253861 68785066499 92227510687 126176287627 894205864487 1582056529477 20566734883201