Search a number
-
+
45005624231235 = 354779808072973
BaseRepresentation
bin10100011101110101100000…
…01111101100010101000011
312220100111101100000200120020
422032322300033230111003
521344333004300344420
6235415144235344523
712323356216013403
oct1216726017542503
9186314340020506
1045005624231235
1113381861647818
12506a4845b2143
131c1602091b4b5
14b183d8bb6803
15530a7609c340
hex28eeb03ec543

45005624231235 has 32 divisors (see below), whose sum is σ = 74472005283840. Its totient is φ = 23194926588288.

The previous prime is 45005624231153. The next prime is 45005624231251. The reversal of 45005624231235 is 53213242650054.

45005624231235 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45005624231235 - 28 = 45005624230979 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403980792 + ... + 404092181.

It is an arithmetic number, because the mean of its divisors is an integer number (2327250165120).

Almost surely, 245005624231235 is an apocalyptic number.

45005624231235 is a deficient number, since it is larger than the sum of its proper divisors (29466381052605).

45005624231235 is a wasteful number, since it uses less digits than its factorization.

45005624231235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808073107.

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 45005624231235 its reverse (53213242650054), we get a palindrome (98218866881289).

The spelling of 45005624231235 in words is "forty-five trillion, five billion, six hundred twenty-four million, two hundred thirty-one thousand, two hundred thirty-five".

Divisors: 1 3 5 15 47 79 141 235 237 395 705 1185 3713 11139 18565 55695 808072973 2424218919 4040364865 12121094595 37979429731 63837764867 113938289193 189897148655 191513294601 319188824335 569691445965 957566473005 3000374948749 9001124846247 15001874743745 45005624231235