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2668378738662 = 2327135330736733
BaseRepresentation
bin100110110101000111110…
…001000100111111100110
3100110002112220100201212200
4212311013301010333212
5322204314424114122
65401500344555330
7363532625021220
oct46650761047746
910402486321780
102668378738662
1193972026284a
12371196782b46
1316481c79ab90
14932162bd410
1549625e5c5ac
hex26d47c44fe6

2668378738662 has 96 divisors (see below), whose sum is σ = 7249934922048. Its totient is φ = 690469947648.

The previous prime is 2668378738633. The next prime is 2668378738673.

2668378738662 is a `hidden beast` number, since 26 + 68 + 37 + 87 + 386 + 62 = 666.

2668378738662 is nontrivially palindromic in base 10.

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 47 ways as a sum of consecutive naturals, for example, 15281553 + ... + 15455180.

It is an arithmetic number, because the mean of its divisors is an integer number (75520155438).

Almost surely, 22668378738662 is an apocalyptic number.

2668378738662 is an abundant number, since it is smaller than the sum of its proper divisors (4581556183386).

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

2668378738662 is a wasteful number, since it uses less digits than its factorization.

2668378738662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30736814 (or 30736811 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 2668378738662 in words is "two trillion, six hundred sixty-eight billion, three hundred seventy-eight million, seven hundred thirty-eight thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 53 63 78 91 106 117 126 159 182 234 273 318 371 477 546 689 742 819 954 1113 1378 1638 2067 2226 3339 4134 4823 6201 6678 9646 12402 14469 28938 43407 86814 30736733 61473466 92210199 184420398 215157131 276630597 399577529 430314262 553261194 645471393 799155058 1198732587 1290942786 1629046849 1936414179 2397465174 2797042703 3258093698 3596197761 3872828358 4887140547 5594085406 7192395522 8391128109 9774281094 11403327943 14661421641 16782256218 21177609037 22806655886 25173384327 29322843282 34209983829 42355218074 50346768654 63532827111 68419967658 102629951487 127065654222 148243263259 190598481333 205259902974 296486526518 381196962666 444729789777 889459579554 1334189369331 2668378738662