Search a number
-
+
245914568148 = 223191915711717
BaseRepresentation
bin1110010100000110100…
…1101000010111010100
3212111202012122102012110
43211001221220113110
513012113112140043
6304545510351020
723523664224504
oct3450151502724
9774665572173
10245914568148
11953233a9897
123b7b035b470
131a2608578b2
14bc8bdbda04
1565e431ab33
hex3941a685d4

245914568148 has 48 divisors (see below), whose sum is σ = 576917074944. Its totient is φ = 81526488960.

The previous prime is 245914568077. The next prime is 245914568183. The reversal of 245914568148 is 841865419542.

It is a super-2 number, since 2×2459145681482 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20981986 + ... + 20993702.

It is an arithmetic number, because the mean of its divisors is an integer number (12019105728).

Almost surely, 2245914568148 is an apocalyptic number.

It is an amenable number.

245914568148 is an abundant number, since it is smaller than the sum of its proper divisors (331002506796).

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

245914568148 is a wasteful number, since it uses less digits than its factorization.

245914568148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21072 (or 21070 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 57.

The spelling of 245914568148 in words is "two hundred forty-five billion, nine hundred fourteen million, five hundred sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 191 382 573 764 1146 2292 9157 11717 18314 23434 27471 35151 36628 46868 54942 70302 109884 140604 1748987 2237947 3497974 4475894 5246961 6713841 6995948 8951788 10493922 13427682 20987844 26855364 107292569 214585138 321877707 429170276 643755414 1287510828 20492880679 40985761358 61478642037 81971522716 122957284074 245914568148