Search a number
-
+
54350710134 = 23723110755733
BaseRepresentation
bin110010100111100011…
…100000010101110110
312012021210110010221020
4302213203200111312
51342302240211014
640545100202010
73632601261600
oct624743402566
9165253403836
1054350710134
1121060616a66
12a649b39306
135182235916
1428b8498170
1516317e41a9
hexca78e0576

54350710134 has 96 divisors (see below), whose sum is σ = 131749825536. Its totient is φ = 14887131840.

The previous prime is 54350710123. The next prime is 54350710177. The reversal of 54350710134 is 43101705345.

54350710134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54350710095 and 54350710104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947332 + ... + 1003064.

It is an arithmetic number, because the mean of its divisors is an integer number (1372394016).

Almost surely, 254350710134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54350710134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65874912768).

54350710134 is an abundant number, since it is smaller than the sum of its proper divisors (77399115402).

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

54350710134 is a wasteful number, since it uses less digits than its factorization.

54350710134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55890 (or 55883 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 54350710134 in words is "fifty-four billion, three hundred fifty million, seven hundred ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 107 147 186 214 217 294 321 434 642 651 749 1302 1498 1519 2247 3038 3317 4494 4557 5243 6634 9114 9951 10486 15729 19902 23219 31458 46438 55733 69657 111466 139314 162533 167199 325066 334398 390131 487599 780262 975198 1170393 1727723 2340786 2730917 3455446 5183169 5461834 5963431 8192751 10366338 11926862 12094061 16385502 17890293 24188122 35780586 36282183 41744017 72564366 83488034 84658427 125232051 169316854 184866361 250464102 253975281 292208119 369732722 507950562 554599083 584416238 876624357 1109198166 1294064527 1753248714 2588129054 3882193581 7764387162 9058451689 18116903378 27175355067 54350710134