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638101804890051 = 361958788189083
BaseRepresentation
bin1001000100010110011010011…
…1011010010011011111000011
310002200022221021220211121000000
42101011212213122103133003
51132114124444022440201
610141043531115531043
7251256222402156345
oct22105464732233703
93080287256747000
10638101804890051
111753565016429a7
125b6984a3459a83
1321508985262528
14b380413905295
154db875b818d86
hex24459a76937c3

638101804890051 has 112 divisors (see below), whose sum is σ = 1009940476083840. Its totient is φ = 401863924788480.

The previous prime is 638101804890047. The next prime is 638101804890103. The reversal of 638101804890051 is 150098408101836.

It is a happy number.

638101804890051 is a `hidden beast` number, since 6 + 3 + 8 + 101 + 8 + 0 + 489 + 0 + 0 + 51 = 666.

638101804890051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 638101804890051 - 22 = 638101804890047 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 638101804890051.

It is not an unprimeable number, because it can be changed into a prime (638101804890041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7162958556 + ... + 7163047638.

It is an arithmetic number, because the mean of its divisors is an integer number (9017325679320).

Almost surely, 2638101804890051 is an apocalyptic number.

638101804890051 is a deficient number, since it is larger than the sum of its proper divisors (371838671193789).

638101804890051 is an equidigital number, since it uses as much as digits as its factorization.

638101804890051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90588 (or 90573 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 638101804890051 in words is "six hundred thirty-eight trillion, one hundred one billion, eight hundred four million, eight hundred ninety thousand, fifty-one".

Divisors: 1 3 9 19 27 57 81 171 243 513 587 729 881 1539 1761 2643 4617 5283 7929 11153 13851 15849 16739 23787 33459 47547 50217 71361 89083 100377 142641 150651 214083 267249 301131 427923 451953 517147 642249 801747 903393 1355859 1551441 1692577 2405241 2710179 4067577 4654323 5077731 7215723 8130537 9825793 12202731 13962969 15233193 21647169 29477379 41888907 45699579 52291721 64941507 78482123 88432137 125666721 137098737 156875163 235446369 265296411 377000163 411296211 470625489 706339107 795889233 993542699 1233888633 1411876467 1491160337 2119017321 2387667699 2980628097 4235629401 4473481011 6357051963 7163003097 8941884291 12706888203 13420443033 19071155889 26825652873 38120664609 40261329099 46069006201 57213467667 80476958619 120783987297 138207018603 241430875857 362351961891 414621055809 724292627571 875311117819 1087055885673 1243863167427 2625933353457 3731589502281 7877800060371 11194768506843 23633400181113 33584305520529 70900200543339 212700601630017 638101804890051