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45922349010 = 23523313212633
BaseRepresentation
bin101010110001001011…
…110110111111010010
311101112102000001001010
4222301023312333102
51223022110132020
633032455151350
73213666345306
oct526113667722
9141472001033
1045922349010
1118525a7255a
128a97375556
13443b0311a5
142318d65d06
1512db8d1de0
hexab12f6fd2

45922349010 has 64 divisors (see below), whose sum is σ = 115373507328. Its totient is φ = 11676048384.

The previous prime is 45922349009. The next prime is 45922349051. The reversal of 45922349010 is 1094322954.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45922349010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109654 + ... + 322286.

It is an arithmetic number, because the mean of its divisors is an integer number (1802711052).

Almost surely, 245922349010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45922349010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57686753664).

45922349010 is an abundant number, since it is smaller than the sum of its proper divisors (69451158318).

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

45922349010 is a wasteful number, since it uses less digits than its factorization.

45922349010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212979.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 45922349010 in words is "forty-five billion, nine hundred twenty-two million, three hundred forty-nine thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 313 345 626 690 939 1565 1878 3130 4695 7199 9390 14398 21597 35995 43194 71990 107985 212633 215970 425266 637899 1063165 1275798 2126330 3189495 4890559 6378990 9781118 14671677 24452795 29343354 48905590 66554129 73358385 133108258 146716770 199662387 332770645 399324774 665541290 998311935 1530744967 1996623870 3061489934 4592234901 7653724835 9184469802 15307449670 22961174505 45922349010