Search a number
-
+
238305056778 = 236415375217
BaseRepresentation
bin1101110111110000010…
…1101001100000001010
3211210002220000012000000
43131330011221200022
512401022043304103
6301250440223430
723134264363245
oct3357405514012
9753086005000
10238305056778
1192078aa0318
123a227a6ab76
131961a1a5a49
14b76952225c
1562eb255aa3
hex377c16980a

238305056778 has 112 divisors (see below), whose sum is σ = 559379116296. Its totient is φ = 76034350080.

The previous prime is 238305056761. The next prime is 238305056839. The reversal of 238305056778 is 877650503832.

238305056778 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 0 + 5 + 0 + 567 + 78 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108166658769 + 130138398009 = 328887^2 + 360747^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3130626 + ... + 3205842.

Almost surely, 2238305056778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238305056778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279689558148).

238305056778 is an abundant number, since it is smaller than the sum of its proper divisors (321074059518).

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

238305056778 is an equidigital number, since it uses as much as digits as its factorization.

238305056778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75331 (or 75316 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 238305056778 in words is "two hundred thirty-eight billion, three hundred five million, fifty-six thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 41 53 54 81 82 106 123 159 162 243 246 318 369 477 486 729 738 954 1107 1431 1458 2173 2214 2862 3321 4293 4346 6519 6642 8586 9963 12879 13038 19557 19926 25758 29889 38637 39114 58671 59778 75217 77274 117342 150434 176013 225651 352026 451302 528039 676953 1056078 1353906 1584117 2030859 3083897 3168234 3986501 4061718 6092577 6167794 7973002 9251691 11959503 12185154 18277731 18503382 23919006 27755073 35878509 36555462 54833193 55510146 71757018 83265219 107635527 109666386 163446541 166530438 215271054 249795657 322906581 326893082 490339623 499591314 645813162 749386971 968719743 980679246 1471018869 1498773942 1937439486 2248160913 2906159229 2942037738 4413056607 4496321826 5812318458 8826113214 13239169821 26478339642 39717509463 79435018926 119152528389 238305056778