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1356066507666 = 23131753101191047
BaseRepresentation
bin10011101110111011110…
…111001100101110010010
311210122020121101010220010
4103232323313030232102
5134204211011221131
62514545055255350
7166654410062403
oct23567367145622
94718217333803
101356066507666
11483117211242
1219a993b1a556
139ab5194ac70
14498c387b9aa
152541b18db46
hex13bbbdccb92

1356066507666 has 128 divisors (see below), whose sum is σ = 3182132169216. Its totient is φ = 381480652800.

The previous prime is 1356066507623. The next prime is 1356066507703. The reversal of 1356066507666 is 6667056606531.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7002555 + ... + 7193601.

It is an arithmetic number, because the mean of its divisors is an integer number (24860407572).

Almost surely, 21356066507666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356066507666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591066084608).

1356066507666 is an abundant number, since it is smaller than the sum of its proper divisors (1826065661550).

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

1356066507666 is a wasteful number, since it uses less digits than its factorization.

1356066507666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191236.

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 1356066507666 in words is "one trillion, three hundred fifty-six billion, sixty-six million, five hundred seven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 53 78 101 102 106 159 202 221 303 318 442 606 663 689 901 1313 1326 1378 1717 1802 2067 2626 2703 3434 3939 4134 5151 5353 5406 7878 10302 10706 11713 16059 22321 23426 32118 35139 44642 66963 69589 70278 91001 133926 139178 182002 191047 208767 273003 382094 417534 546006 573141 1146282 1183013 2366026 2483611 3247799 3549039 4967222 6495598 7098078 7450833 9743397 10125491 14901666 19295747 19486794 20250982 30376473 38591494 42221387 57887241 60752946 84442774 115774482 126664161 131631383 172133347 250844711 253328322 263262766 328027699 344266694 394894149 501689422 516400041 656055398 752534133 789788298 984083097 1022674591 1032800082 1505068266 1968166194 2045349182 2237733511 3068023773 4264360087 4475467022 6136047546 6713200533 8528720174 12793080261 13294769683 13426401066 17385468047 25586160522 26589539366 34770936094 39884309049 52156404141 79768618098 104312808282 226011084611 452022169222 678033253833 1356066507666