Search a number
-
+
45201456006003 = 32112636571731721
BaseRepresentation
bin10100100011100010010001…
…01110101000001101110011
312221001012212012001120222100
422101301020232220031303
521411040040214143003
6240045132350111443
712343461134436303
oct1221611056501563
9187035765046870
1045201456006003
1113447914574680
1250a04181ab583
131c2b62c5086bb
14b23a95473603
15535bd861bba3
hex291c48ba8373

45201456006003 has 24 divisors (see below), whose sum is σ = 71226848015856. Its totient is φ = 27394702099200.

The previous prime is 45201456005977. The next prime is 45201456006041. The reversal of 45201456006003 is 30060065410254.

45201456006003 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 1 + 45 + 6 + 0 + 0 + 600 + 3 = 666.

It is not a de Polignac number, because 45201456006003 - 214 = 45201455989619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45201456046003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25236183 + ... + 26967903.

It is an arithmetic number, because the mean of its divisors is an integer number (2967785333994).

Almost surely, 245201456006003 is an apocalyptic number.

45201456006003 is a deficient number, since it is larger than the sum of its proper divisors (26025392009853).

45201456006003 is a wasteful number, since it uses less digits than its factorization.

45201456006003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995395 (or 1995392 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45201456006003 in words is "forty-five trillion, two hundred one billion, four hundred fifty-six million, six thousand, three".

Divisors: 1 3 9 11 33 99 263657 790971 1731721 2372913 2900227 5195163 8700681 15585489 19048931 26102043 57146793 171440379 456580363697 1369741091091 4109223273273 5022384000667 15067152002001 45201456006003