Search a number
-
+
4426117560045 = 3252332609131143
BaseRepresentation
bin100000001101000100100…
…1010100011011011101101
3120200010120202001120220200
41000122021022203123231
51040004142043410140
613225155204104113
7634530214336056
oct100321112433355
916603522046820
104426117560045
111457118a79435
125b5989995039
132614c535b8cc
1411432207972d
157a20072a030
hex406892a36ed

4426117560045 has 48 divisors (see below), whose sum is σ = 8005806132480. Its totient is φ = 2257874961408.

The previous prime is 4426117560031. The next prime is 4426117560047. The reversal of 4426117560045 is 5400657116244.

4426117560045 is a `hidden beast` number, since 4 + 4 + 26 + 1 + 17 + 5 + 600 + 4 + 5 = 666.

It is not a de Polignac number, because 4426117560045 - 27 = 4426117559917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4426117560047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33684744 + ... + 33815886.

It is an arithmetic number, because the mean of its divisors is an integer number (166787627760).

Almost surely, 24426117560045 is an apocalyptic number.

4426117560045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4426117560045 is a deficient number, since it is larger than the sum of its proper divisors (3579688572435).

4426117560045 is a wasteful number, since it uses less digits than its factorization.

4426117560045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163786 (or 163783 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4426117560045 in words is "four trillion, four hundred twenty-six billion, one hundred seventeen million, five hundred sixty thousand, forty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 32609 97827 131143 163045 293481 393429 489135 655715 750007 1180287 1467405 1967145 2250021 3016289 3750035 5901435 6750063 9048867 11250105 15081445 27146601 33750315 45244335 135733005 4276442087 12829326261 21382210435 38487978783 64146631305 98358168001 192439893915 295074504003 491790840005 885223512009 1475372520015 4426117560045