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61301120016536 = 23414722671754063
BaseRepresentation
bin11011111000000110001110…
…11110111010000010011000
322001001022220110020201001022
431330003013132322002120
531013324143211012121
6334213202403542012
715624600620541341
oct1574030736720230
9261038813221038
1061301120016536
11185947281502a4
126a6069908a908
132828894a143ba
14111cdc09510c8
157148b1eb4aab
hex37c0c77ba098

61301120016536 has 64 divisors (see below), whose sum is σ = 120301286676480. Its totient is φ = 29253825061120.

The previous prime is 61301120016517. The next prime is 61301120016551. The reversal of 61301120016536 is 63561002110316.

61301120016536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61301120016496 and 61301120016505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34071041 + ... + 35825103.

It is an arithmetic number, because the mean of its divisors is an integer number (1879707604320).

Almost surely, 261301120016536 is an apocalyptic number.

It is an amenable number.

61301120016536 is a deficient number, since it is larger than the sum of its proper divisors (59000166659944).

61301120016536 is a wasteful number, since it uses less digits than its factorization.

61301120016536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756424 (or 1756420 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 61301120016536 in words is "sixty-one trillion, three hundred one billion, one hundred twenty million, sixteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 41 47 82 94 164 188 328 376 1927 2267 3854 4534 7708 9068 15416 18136 92947 106549 185894 213098 371788 426196 743576 852392 1754063 3508126 4368509 7016252 8737018 14032504 17474036 34948072 71916583 82440961 143833166 164881922 287666332 329763844 575332664 659527688 3380079401 3976460821 6760158802 7952921642 13520317604 15905843284 27040635208 31811686568 163034893661 186893658587 326069787322 373787317174 652139574644 747574634348 1304279149288 1495149268696 7662640002067 15325280004134 30650560008268 61301120016536