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4134785778 = 234533371429
BaseRepresentation
bin1111011001110011…
…1101001011110010
3101200011022212210000
43312130331023302
531432001121103
61522142450430
7204315046014
oct36634751362
911604285700
104134785778
111831a84832
12974893a16
1350b824606
142b31dc1b4
15192eebaa3
hexf673d2f2

4134785778 has 80 divisors (see below), whose sum is σ = 9474430680. Its totient is φ = 1347300864.

The previous prime is 4134785771. The next prime is 4134785791. The reversal of 4134785778 is 8775874314.

It can be written as a sum of positive squares in 4 ways, for example, as 2582977329 + 1551808449 = 50823^2 + 39393^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4134785771) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2892768 + ... + 2894196.

Almost surely, 24134785778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134785778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737215340).

4134785778 is an abundant number, since it is smaller than the sum of its proper divisors (5339644902).

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

4134785778 is a wasteful number, since it uses less digits than its factorization.

4134785778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1824 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 4134785778 is about 64302.2999433146. The cubic root of 4134785778 is about 1605.0343743184.

The spelling of 4134785778 in words is "four billion, one hundred thirty-four million, seven hundred eighty-five thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 337 477 674 954 1011 1429 1431 2022 2858 2862 3033 4287 4293 6066 8574 8586 9099 12861 17861 18198 25722 27297 35722 38583 53583 54594 75737 77166 107166 115749 151474 160749 227211 231498 321498 454422 481573 482247 681633 963146 964494 1363266 1444719 1446741 2044899 2889438 2893482 4089798 4334157 6134697 8668314 12269394 13002471 25523369 26004942 39007413 51046738 76570107 78014826 153140214 229710321 459420642 689130963 1378261926 2067392889 4134785778