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2068961564761 = 7134361127131521
BaseRepresentation
bin11110000110110111101…
…110000001100001011001
321022210100111012022111021
4132012313232001201121
5232344213130033021
64222245014402441
7302322540063520
oct36066756014131
97283314168437
102068961564761
11728494958113
12294b8b060421
131201438052b0
14721d15d14b7
1538c42368c41
hex1e1b7b81859

2068961564761 has 128 divisors (see below), whose sum is σ = 2694739525632. Its totient is φ = 1545433344000.

The previous prime is 2068961564753. The next prime is 2068961564779. The reversal of 2068961564761 is 1674651698602.

It is not a de Polignac number, because 2068961564761 - 23 = 2068961564753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 2068961564761.

It is not an unprimeable number, because it can be changed into a prime (2068961564711) 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, 3971135181 + ... + 3971135701.

It is an arithmetic number, because the mean of its divisors is an integer number (21052652544).

Almost surely, 22068961564761 is an apocalyptic number.

It is an amenable number.

2068961564761 is a deficient number, since it is larger than the sum of its proper divisors (625777960871).

2068961564761 is a wasteful number, since it uses less digits than its factorization.

2068961564761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 2068961564761 in words is "two trillion, sixty-eight billion, nine hundred sixty-one million, five hundred sixty-four thousand, seven hundred sixty-one".

Divisors: 1 7 13 43 61 91 127 131 301 427 521 559 793 889 917 1651 1703 2623 3647 3913 5461 5551 5633 6773 7747 7991 11557 11921 16637 18361 22403 31781 34099 38227 39431 47411 54229 55937 66167 68251 70993 73229 100711 103883 116459 156821 216281 222467 238693 291239 333121 343613 413153 463169 477757 496951 512603 704977 715391 727181 860171 887263 1014857 1366583 1513967 2038673 2331847 2405291 2845181 2892071 2934793 4036187 4163311 4330573 4466969 5007737 6021197 6210841 7103999 8667877 9300083 9566081 13193141 17765579 19916267 20543551 28253309 29143177 30314011 31268783 36987353 38152309 43638851 52470431 54123043 60675139 65100581 92351987 112682401 124359053 173556041 179022373 258911471 267066163 305471957 367293017 372718711 378861301 528740497 567305063 788776807 1214892287 1253156611 2256228533 2327290849 2609030977 3701183479 3971135441 4845343243 6873626461 15793599731 16291035943 22735841371 33917402701 48115385227 159150889597 295565937823 2068961564761