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5674142414448 = 2432437211127079
BaseRepresentation
bin101001010010001110100…
…1111100011011001110000
3202002102221202000002010100
41102210131033203121300
51220431120424230243
620022355352032400
71123641352510644
oct122443517433160
922072852002110
105674142414448
111898432517442
1277782a992700
133220b9431b11
141588b6868c24
159c8e66a70d3
hex5291d3e3670

5674142414448 has 120 divisors (see below), whose sum is σ = 16251395022720. Its totient is φ = 1847124478080.

The previous prime is 5674142414441. The next prime is 5674142414477. The reversal of 5674142414448 is 8444142414765.

5674142414448 is a `hidden beast` number, since 5 + 6 + 74 + 1 + 424 + 144 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5674142414394 and 5674142414403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5674142414441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44586973 + ... + 44714051.

It is an arithmetic number, because the mean of its divisors is an integer number (135428291856).

Almost surely, 25674142414448 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 5674142414448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125697511360).

5674142414448 is an abundant number, since it is smaller than the sum of its proper divisors (10577252608272).

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

5674142414448 is a wasteful number, since it uses less digits than its factorization.

5674142414448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134347 (or 134338 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 54.

The spelling of 5674142414448 in words is "five trillion, six hundred seventy-four billion, one hundred forty-two million, four hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 7211 14422 21633 28844 43266 57688 64899 86532 115376 127079 129798 173064 254158 259596 310073 346128 381237 508316 519192 620146 762474 930219 1016632 1038384 1143711 1240292 1524948 1860438 2033264 2287422 2480584 2790657 3049896 3720876 4574844 4961168 5464397 5581314 6099792 7441752 9149688 10928794 11162628 14883504 16393191 18299376 21857588 22325256 32786382 43715176 44650512 49179573 65572764 87430352 98359146 131145528 196718292 262291056 393436584 786873168 916366669 1832733338 2749100007 3665466676 5498200014 7330933352 8247300021 10996400028 14661866704 16494600042 21992800056 32989200084 39403766767 43985600112 65978400168 78807533534 118211300301 131956800336 157615067068 236422600602 315230134136 354633900903 472845201204 630460268272 709267801806 945690402408 1418535603612 1891380804816 2837071207224 5674142414448