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82672563475557 = 3511135372284757
BaseRepresentation
bin10010110011000010110100…
…110001110101010001100101
3101211201102100002112102100000
4102303002310301311101211
541314001402222204212
6451455130143011513
723261616122622636
oct2263026461652145
9354642302472300
1082672563475557
11243842678a3730
1293325b6299b99
133718cb25c3773
14165b53295588d
15985782e5d1dc
hex4b30b4c75465

82672563475557 has 48 divisors (see below), whose sum is σ = 135106843015872. Its totient is φ = 50100860689920.

The previous prime is 82672563475477. The next prime is 82672563475559. The reversal of 82672563475557 is 75557436527628.

82672563475557 is a `hidden beast` number, since 8 + 2 + 6 + 7 + 2 + 5 + 63 + 4 + 7 + 5 + 557 = 666.

It is not a de Polignac number, because 82672563475557 - 214 = 82672563459173 is a prime.

It is a super-2 number, since 2×826725634755572 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82672563475559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35042023 + ... + 37326779.

It is an arithmetic number, because the mean of its divisors is an integer number (2814725896164).

Almost surely, 282672563475557 is an apocalyptic number.

It is an amenable number.

82672563475557 is a deficient number, since it is larger than the sum of its proper divisors (52434279540315).

82672563475557 is a wasteful number, since it uses less digits than its factorization.

82672563475557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298320 (or 2298308 counting only the distinct ones).

The product of its digits is 2963520000, while the sum is 72.

The spelling of 82672563475557 in words is "eighty-two trillion, six hundred seventy-two billion, five hundred sixty-three million, four hundred seventy-five thousand, five hundred fifty-seven".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 13537 40611 121833 148907 365499 446721 1096497 1340163 2284757 3289491 4020489 6854271 12061467 20562813 25132327 36184401 61688439 75396981 185065317 226190943 555195951 678572829 2035718487 6107155461 30928755509 92786266527 278358799581 340216310599 835076398743 1020648931797 2505229196229 3061946795391 7515687588687 9185840386173 27557521158519 82672563475557