Search a number
-
+
104525412318 = 232137175924097
BaseRepresentation
bin110000101011000110…
…0110011011111011110
3100222210120000002220100
41201112030303133132
53203032001143233
6120003542201530
710360144226265
oct1412614633736
9328716002810
10104525412318
1140368963388
12183114232a6
139b1a243002
1450b80a35dc
152abb697813
hex18563337de

104525412318 has 48 divisors (see below), whose sum is σ = 228263967360. Its totient is φ = 34566386688.

The previous prime is 104525412287. The next prime is 104525412319. The reversal of 104525412318 is 813214525401.

104525412318 is a `hidden beast` number, since 1 + 0 + 4 + 525 + 4 + 123 + 1 + 8 = 666.

It is a super-2 number, since 2×1045254123182 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104525412319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4325646 + ... + 4349742.

It is an arithmetic number, because the mean of its divisors is an integer number (4755499320).

Almost surely, 2104525412318 is an apocalyptic number.

104525412318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

104525412318 is an abundant number, since it is smaller than the sum of its proper divisors (123738555042).

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

104525412318 is a wasteful number, since it uses less digits than its factorization.

104525412318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26001 (or 25998 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 104525412318 its reverse (813214525401), we get a palindrome (917739937719).

The spelling of 104525412318 in words is "one hundred four billion, five hundred twenty-five million, four hundred twelve thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 1759 2466 3518 5277 10554 15831 24097 31662 48194 72291 144582 216873 240983 433746 481966 722949 1445898 2168847 3301289 4337694 6602578 9903867 19807734 29711601 42386623 59423202 84773246 127159869 254319738 381479607 762959214 5806967351 11613934702 17420902053 34841804106 52262706159 104525412318