Search a number
-
+
25247152242 = 23213374915939
BaseRepresentation
bin10111100000110110…
…001111100001110010
32102011111222012221200
4113200312033201302
5403201232332432
615333130032030
71552435152564
oct274066174162
972144865850
1025247152242
11a7863a5184
124a87278616
1324c47bc950
141317121334
159cb742a7c
hex5e0d8f872

25247152242 has 96 divisors (see below), whose sum is σ = 60635615040. Its totient is φ = 7541735040.

The previous prime is 25247152223. The next prime is 25247152261. The reversal of 25247152242 is 24225174252.

25247152242 is a `hidden beast` number, since 2 + 5 + 24 + 71 + 522 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (25247152223) and next prime (25247152261).

It is a junction number, because it is equal to n+sod(n) for n = 25247152197 and 25247152206.

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, 4248109 + ... + 4254047.

It is an arithmetic number, because the mean of its divisors is an integer number (631620990).

Almost surely, 225247152242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25247152242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30317807520).

25247152242 is an abundant number, since it is smaller than the sum of its proper divisors (35388462798).

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

25247152242 is a wasteful number, since it uses less digits than its factorization.

25247152242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6485 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The spelling of 25247152242 in words is "twenty-five billion, two hundred forty-seven million, one hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 491 666 962 982 1443 1473 2886 2946 4329 4419 5939 6383 8658 8838 11878 12766 17817 18167 19149 35634 36334 38298 53451 54501 57447 77207 106902 109002 114894 154414 163503 219743 231621 236171 327006 439486 463242 472342 659229 694863 708513 1318458 1389726 1417026 1977687 2125539 2856659 2916049 3955374 4251078 5713318 5832098 8569977 8748147 17139954 17496294 25709931 26244441 37908637 51419862 52488882 75817274 107893813 113725911 215787626 227451822 323681439 341177733 647362878 682355466 971044317 1402619569 1942088634 2805239138 4207858707 8415717414 12623576121 25247152242