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245112224014125 = 32531316759810189
BaseRepresentation
bin110111101110110110100011…
…000010101101111100101101
31012010212111111022221210111200
4313232312203002231330231
5224111404313321423000
62225151000132240113
7102425526260461236
oct6756664302557455
91163774438853450
10245112224014125
1171111568436796
12235a8483a70039
13a69cca2b06690
1444756d019808d
151d50de8987500
hexdeeda30adf2d

245112224014125 has 48 divisors (see below), whose sum is σ = 475844530914480. Its totient is φ = 120670633353600.

The previous prime is 245112224014123. The next prime is 245112224014129. The reversal of 245112224014125 is 521410422211542.

245112224014125 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 1 + 222 + 401 + 4 + 1 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 199441362661641 + 45670861352484 = 14122371^2 + 6758022^2 .

It is not a de Polignac number, because 245112224014125 - 21 = 245112224014123 is a prime.

It is a super-2 number, since 2×2451122240141252 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 245112224014125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245112224014121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8379890470 + ... + 8379919719.

It is an arithmetic number, because the mean of its divisors is an integer number (9913427727385).

Almost surely, 2245112224014125 is an apocalyptic number.

245112224014125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

245112224014125 is a deficient number, since it is larger than the sum of its proper divisors (230732306900355).

245112224014125 is a wasteful number, since it uses less digits than its factorization.

245112224014125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16759810223 (or 16759810210 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 245112224014125 its reverse (521410422211542), we get a palindrome (766522646225667).

The spelling of 245112224014125 in words is "two hundred forty-five trillion, one hundred twelve billion, two hundred twenty-four million, fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 975 1125 1625 2925 4875 14625 16759810189 50279430567 83799050945 150838291701 217877532457 251397152835 418995254725 653632597371 754191458505 1089387662285 1256985764175 1960897792113 2094976273625 3268162986855 3770957292525 5446938311425 6284928820875 9804488960565 16340814934275 18854786462625 27234691557125 49022444802825 81704074671375 245112224014125