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36540025641 = 3373172310091
BaseRepresentation
bin100010000001111101…
…001000101100101001
310111022112111121222000
4202001331020230221
51044313221310031
624441455321213
72432332044000
oct420175105451
9114275447860
1036540025641
111455098a0a9
1270b9220209
1335a42bb362
141aa8c6bc37
15e3cd843e6
hex881f48b29

36540025641 has 128 divisors (see below), whose sum is σ = 69755904000. Its totient is φ = 18795490560.

The previous prime is 36540025597. The next prime is 36540025649. The reversal of 36540025641 is 14652004563.

36540025641 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 0 + 0 + 2 + 5 + 641 = 666.

It is not a de Polignac number, because 36540025641 - 27 = 36540025513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36540025596 and 36540025605.

It is not an unprimeable number, because it can be changed into a prime (36540025649) 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, 3616006 + ... + 3626096.

It is an arithmetic number, because the mean of its divisors is an integer number (544968000).

Almost surely, 236540025641 is an apocalyptic number.

It is an amenable number.

36540025641 is a deficient number, since it is larger than the sum of its proper divisors (33215878359).

36540025641 is a wasteful number, since it uses less digits than its factorization.

36540025641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161 (or 10141 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 36540025641 in words is "thirty-six billion, five hundred forty million, twenty-five thousand, six hundred forty-one".

Divisors: 1 3 7 9 17 21 23 27 49 51 63 69 119 147 153 161 189 207 343 357 391 441 459 483 621 833 1029 1071 1127 1173 1323 1449 2499 2737 3087 3213 3381 3519 4347 5831 7497 7889 8211 9261 10091 10143 10557 17493 19159 22491 23667 24633 30273 30429 52479 57477 70637 71001 73899 90819 134113 157437 171547 172431 211911 213003 232093 272457 402339 494459 514641 517293 635733 696279 1200829 1207017 1483377 1543923 1624651 1907199 2088837 3461213 3602487 3621051 3945581 4450131 4631769 4873953 6266511 8405803 10383639 10807461 11372557 11836743 13350393 14621859 25217409 27619067 31150917 32422383 34117671 35510229 43865577 58840621 75652227 79607899 82857201 93452751 102353013 106530687 176521863 193333469 226956681 238823697 248571603 307059039 529565589 580000407 716471091 745714809 1353334283 1588696767 1740001221 2149413273 4060002849 5220003663 12180008547 36540025641