Search a number
-
+
45430534115050 = 25272181102447929
BaseRepresentation
bin10100101010001100111101…
…10110010000111011101010
312221212010011000221021012111
422111012132312100323222
521423313213213140200
6240342255501032534
712366150662310400
oct1225063666207352
9187763130837174
1045430534115050
1113525a88155557
1251188a9b5574a
131c47108c00256
14b30bc7385470
1553bb447b70ba
hex29519ed90eea

45430534115050 has 72 divisors (see below), whose sum is σ = 98839918801260. Its totient is φ = 15490126713600.

The previous prime is 45430534115047. The next prime is 45430534115051. The reversal of 45430534115050 is 5051143503454.

It can be written as a sum of positive squares in 6 ways, for example, as 110077304841 + 45320456810209 = 331779^2 + 6732047^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45430534114994 and 45430534115012.

It is not an unprimeable number, because it can be changed into a prime (45430534115051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50780515 + ... + 51667414.

Almost surely, 245430534115050 is an apocalyptic number.

45430534115050 is an abundant number, since it is smaller than the sum of its proper divisors (53409384686210).

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

45430534115050 is a wasteful number, since it uses less digits than its factorization.

45430534115050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102448136 (or 102448124 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 45430534115050 in words is "forty-five trillion, four hundred thirty billion, five hundred thirty-four million, one hundred fifteen thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 181 245 350 362 490 905 1225 1267 1810 2450 2534 4525 6335 8869 9050 12670 17738 31675 44345 63350 88690 221725 443450 102447929 204895858 512239645 717135503 1024479290 1434271006 2561198225 3585677515 5019948521 5122396450 7171355030 10039897042 17928387575 18543075149 25099742605 35856775150 37086150298 50199485210 92715375745 125498713025 129801526043 185430751490 250997426050 259603052086 463576878725 649007630215 908610682301 927153757450 1298015260430 1817221364602 3245038151075 4543053411505 6490076302150 9086106823010 22715267057525 45430534115050