Search a number
-
+
245305500102405 = 325157353949710357
BaseRepresentation
bin110111110001101010100011…
…001100011110111100000101
31012011112222101002000101010200
4313301222203030132330011
5224123041131011234110
62225415442505441113
7102445510654225131
oct6761524314367405
91164488332011120
10245305500102405
1171186529785556
1223619a237a0199
13a6b5295097962
144480bc726a3c1
151d55e5b97b6c0
hexdf1aa331ef05

245305500102405 has 96 divisors (see below), whose sum is σ = 429203271485664. Its totient is φ = 129601865023488.

The previous prime is 245305500102401. The next prime is 245305500102409. The reversal of 245305500102405 is 504201005503542.

245305500102405 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 0 + 5 + 500 + 102 + 40 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (245305500102401) and next prime (245305500102409).

It can be written as a sum of positive squares in 16 ways, for example, as 150916949850276 + 94388550252129 = 12284826^2 + 9715377^2 .

It is not a de Polignac number, because 245305500102405 - 22 = 245305500102401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 245305500102405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245305500102401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23684990487 + ... + 23685000843.

It is an arithmetic number, because the mean of its divisors is an integer number (4470867411309).

Almost surely, 2245305500102405 is an apocalyptic number.

It is an amenable number.

245305500102405 is a deficient number, since it is larger than the sum of its proper divisors (183897771383259).

245305500102405 is a wasteful number, since it uses less digits than its factorization.

245305500102405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20375 (or 20372 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 245305500102405 its reverse (504201005503542), we get a palindrome (749506505605947).

The spelling of 245305500102405 in words is "two hundred forty-five trillion, three hundred five billion, five hundred million, one hundred two thousand, four hundred five".

Divisors: 1 3 5 9 15 45 157 353 471 785 1059 1413 1765 2355 3177 5295 7065 9497 10357 15885 28491 31071 47485 51785 55421 85473 93213 142455 155355 166263 277105 427365 466065 498789 831315 1491029 1626049 2493945 3352441 3656021 4473087 4878147 7455145 8130245 10057323 10968063 13419261 14634441 16762205 18280105 22365435 24390735 30171969 32904189 50286615 54840315 67096305 73172205 98360429 150859845 164520945 295081287 491802145 526333237 573995297 885243861 1475406435 1578999711 1721985891 2631666185 2869976485 4426219305 4736999133 5165957673 7894998555 8609929455 15442587353 23684995665 25829788365 34721231437 46327762059 77212936765 104163694311 138983286177 173606157185 231638810295 312491082933 520818471555 694916430885 1562455414665 5451233335609 16353700006827 27256166678045 49061100020481 81768500034135 245305500102405