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4374780133668 = 2237435412238779
BaseRepresentation
bin111111101010010101001…
…101110100000100100100
3120111020001221122010012120
4333222111031310010210
51033134022203234133
613145425104545540
7631032062404050
oct77522515640444
916436057563176
104374780133668
11143737437612a
125a7a410222b0
132597034ab939
14111a51c84c60
1578be8750ab3
hex3fa95374124

4374780133668 has 96 divisors (see below), whose sum is σ = 11959455298560. Its totient is φ = 1218611640960.

The previous prime is 4374780133667. The next prime is 4374780133679. The reversal of 4374780133668 is 8663310874734.

4374780133668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4374780133667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834703 + ... + 3073481.

It is an arithmetic number, because the mean of its divisors is an integer number (124577659360).

Almost surely, 24374780133668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4374780133668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979727649280).

4374780133668 is an abundant number, since it is smaller than the sum of its proper divisors (7584675164892).

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

4374780133668 is a wasteful number, since it uses less digits than its factorization.

4374780133668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239377 (or 2239375 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 4374780133668 in words is "four trillion, three hundred seventy-four billion, seven hundred eighty million, one hundred thirty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 541 602 903 1082 1204 1623 1806 2164 3246 3612 3787 6492 7574 11361 15148 22722 23263 45444 46526 69789 93052 139578 162841 279156 325682 488523 651364 977046 1954092 2238779 4477558 6716337 8955116 13432674 15671453 26865348 31342906 47014359 62685812 94028718 96267497 188057436 192534994 288802491 385069988 577604982 673872479 1155209964 1211179439 1347744958 2021617437 2422358878 2695489916 3633538317 4043234874 4844717756 7267076634 8086469748 8478256073 14534153268 16956512146 25434768219 33913024292 50869536438 52080715877 101739072876 104161431754 156242147631 208322863508 312484295262 364565011139 624968590524 729130022278 1093695033417 1458260044556 2187390066834 4374780133668