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4137743346 = 231125699371
BaseRepresentation
bin1111011010100000…
…1111001111110010
3101200100220010210120
43312220033033302
531433230241341
61522330111110
7204352144452
oct36650171762
911610803716
104137743346
111833714900
1297587b496
1350c31b859
142b376bd62
151933d3066
hexf6a0f3f2

4137743346 has 24 divisors (see below), whose sum is σ = 9096197712. Its totient is φ = 1253861400.

The previous prime is 4137743341. The next prime is 4137743347. The reversal of 4137743346 is 6433477314.

It is a junction number, because it is equal to n+sod(n) for n = 4137743298 and 4137743307.

It is not an unprimeable number, because it can be changed into a prime (4137743341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2848960 + ... + 2850411.

It is an arithmetic number, because the mean of its divisors is an integer number (379008238).

Almost surely, 24137743346 is an apocalyptic number.

4137743346 is an abundant number, since it is smaller than the sum of its proper divisors (4958454366).

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

4137743346 is a wasteful number, since it uses less digits than its factorization.

4137743346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699398 (or 5699387 counting only the distinct ones).

The product of its digits is 508032, while the sum is 42.

The square root of 4137743346 is about 64325.2932057056. The cubic root of 4137743346 is about 1605.4169710786.

The spelling of 4137743346 in words is "four billion, one hundred thirty-seven million, seven hundred forty-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 5699371 11398742 17098113 34196226 62693081 125386162 188079243 376158486 689623891 1379247782 2068871673 4137743346