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45909141003 = 321113718118701
BaseRepresentation
bin101010110000011001…
…011110011000001011
311101111111011000001200
4222300121132120023
51223010220003003
633031304115243
73213446155065
oct526031363013
9141444130050
1045909141003
1118519571150
128a92a65b23
1344383883bb
1423172c8735
1512da6736a3
hexab065e60b

45909141003 has 48 divisors (see below), whose sum is σ = 73276231392. Its totient is φ = 27466560000.

The previous prime is 45909140987. The next prime is 45909141013. The reversal of 45909141003 is 30014190954.

It is a happy number.

It is not a de Polignac number, because 45909141003 - 24 = 45909140987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45909141013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2445553 + ... + 2464253.

It is an arithmetic number, because the mean of its divisors is an integer number (1526588154).

Almost surely, 245909141003 is an apocalyptic number.

45909141003 is a deficient number, since it is larger than the sum of its proper divisors (27367090389).

45909141003 is a wasteful number, since it uses less digits than its factorization.

45909141003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19036 (or 19033 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 45909141003 in words is "forty-five billion, nine hundred nine million, one hundred forty-one thousand, three".

Divisors: 1 3 9 11 33 99 137 181 411 543 1233 1507 1629 1991 4521 5973 13563 17919 18701 24797 56103 74391 168309 205711 223173 272767 617133 818301 1851399 2454903 2562037 3384881 7686111 10154643 23058333 28182407 30463929 37233691 84547221 111701073 253641663 335103219 463728697 1391186091 4173558273 5101015667 15303047001 45909141003