Search a number
-
+
1696841264016 = 243259493340487
BaseRepresentation
bin11000101100010011100…
…111101110101110010000
320000012211210012102001100
4120230103213232232100
5210300112330422031
63335303525104400
7233410210523523
oct30542347565620
96005753172040
101696841264016
115a4698725488
12234a38858100
13c401c1b3c22
145c1b0024bba
152e213371de6
hex18b139eeb90

1696841264016 has 120 divisors (see below), whose sum is σ = 4830385210560. Its totient is φ = 555900634368.

The previous prime is 1696841263981. The next prime is 1696841264029. The reversal of 1696841264016 is 6104621486961.

1696841264016 is a `hidden beast` number, since 169 + 6 + 8 + 412 + 64 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41890525 + ... + 41931011.

It is an arithmetic number, because the mean of its divisors is an integer number (40253210088).

Almost surely, 21696841264016 is an apocalyptic number.

1696841264016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1696841264016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415192605280).

1696841264016 is an abundant number, since it is smaller than the sum of its proper divisors (3133543946544).

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

1696841264016 is a wasteful number, since it uses less digits than its factorization.

1696841264016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45493 (or 45484 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1696841264016 in words is "one trillion, six hundred ninety-six billion, eight hundred forty-one million, two hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 4933 8496 9866 14799 19732 29598 39464 40487 44397 59196 78928 80974 88794 118392 121461 161948 177588 236784 242922 291047 323896 355176 364383 485844 582094 647792 710352 728766 873141 971688 1164188 1457532 1746282 1943376 2328376 2388733 2619423 2915064 3492564 4656752 4777466 5238846 5830128 6985128 7166199 9554932 10477692 13970256 14332398 19109864 20955384 21498597 28664796 38219728 41910768 42997194 57329592 85994388 114659184 171988776 199722371 343977552 399444742 599167113 798889484 1198334226 1597778968 1797501339 2396668452 3195557936 3595002678 4793336904 7190005356 9586673808 11783619889 14380010712 23567239778 28760021424 35350859667 47134479556 70701719334 94268959112 106052579001 141403438668 188537918224 212105158002 282806877336 424210316004 565613754672 848420632008 1696841264016