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6704602890066 = 2341753396711579
BaseRepresentation
bin110000110010000100101…
…1110010011111101010010
3212201221202022011222210000
41201210021132103331102
51334322011314440231
622132015124150430
71261251211155234
oct141441136237522
925657668158700
106704602890066
1121554515a7524
12903491b38416
1339831a2b9613
1419270c544254
15b96071a46e6
hex61909793f52

6704602890066 has 160 divisors (see below), whose sum is σ = 16212616611840. Its totient is φ = 2063019538944.

The previous prime is 6704602890047. The next prime is 6704602890121. The reversal of 6704602890066 is 6600982064076.

6704602890066 is a `hidden beast` number, since 6 + 70 + 460 + 28 + 90 + 0 + 6 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6704602889994 and 6704602890021.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 579025465 + ... + 579037043.

It is an arithmetic number, because the mean of its divisors is an integer number (101328853824).

Almost surely, 26704602890066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6704602890066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106308305920).

6704602890066 is an abundant number, since it is smaller than the sum of its proper divisors (9508013721774).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6704602890066 is a wasteful number, since it uses less digits than its factorization.

6704602890066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15630 (or 15621 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 6704602890066 in words is "six trillion, seven hundred four billion, six hundred two million, eight hundred ninety thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 81 102 106 153 159 162 306 318 459 477 901 918 954 1377 1431 1802 2703 2754 2862 3967 4293 5406 7934 8109 8586 11579 11901 16218 23158 23802 24327 34737 35703 48654 67439 69474 71406 72981 104211 107109 134878 145962 196843 202317 208422 210251 214218 312633 321327 393686 404634 420502 590529 606951 613687 625266 630753 642654 937899 1181058 1213902 1227374 1261506 1771587 1820853 1841061 1875798 1892259 3543174 3574267 3641706 3682122 3784518 5314761 5462559 5523183 5676777 7148534 10432679 10629522 10722801 10925118 11046366 11353554 15944283 16569549 17030331 20865358 21445602 31298037 31888566 32168403 33139098 34060662 45933893 49708647 62596074 64336806 91867786 93894111 96505209 99417294 137801679 187788222 193010418 275603358 281682333 289515627 413405037 563364666 579031254 780876181 826810074 845046999 1240215111 1561752362 1690093998 2342628543 2434496329 2480430222 3720645333 4685257086 4868992658 7027885629 7303488987 7441290666 14055771258 14606977974 21083656887 21910466961 41386437593 42167313774 43820933922 63250970661 65731400883 82772875186 124159312779 126501941322 131462801766 197194202649 248318625558 372477938337 394388405298 744955876674 1117433815011 2234867630022 3352301445033 6704602890066