Search a number
-
+
22504212504045 = 32519231144378973
BaseRepresentation
bin1010001110111101010111…
…00101111001110111101101
32221200101022021002110001200
411013132223211321313231
510422202111400112140
6115510143103000113
74511606236056246
oct507365345716755
987611267073050
1022504212504045
117196a8a302a18
122635573299039
13c731a462c0cc
1457b2d159dccd
152905bd6e6030
hex1477ab979ded

22504212504045 has 48 divisors (see below), whose sum is σ = 42845548786560. Its totient is φ = 10876177749888.

The previous prime is 22504212504029. The next prime is 22504212504077. The reversal of 22504212504045 is 54040521240522.

22504212504045 is a `hidden beast` number, since 2 + 2 + 504 + 21 + 2 + 50 + 40 + 45 = 666.

It is not a de Polignac number, because 22504212504045 - 24 = 22504212504029 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572169822 + ... + 572209151.

It is an arithmetic number, because the mean of its divisors is an integer number (892615599720).

Almost surely, 222504212504045 is an apocalyptic number.

It is an amenable number.

22504212504045 is a deficient number, since it is larger than the sum of its proper divisors (20341336282515).

22504212504045 is a wasteful number, since it uses less digits than its factorization.

22504212504045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144379026 (or 1144379023 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 22504212504045 its reverse (54040521240522), we get a palindrome (76544733744567).

The spelling of 22504212504045 in words is "twenty-two trillion, five hundred four billion, two hundred twelve million, five hundred four thousand, forty-five".

Divisors: 1 3 5 9 15 19 23 45 57 69 95 115 171 207 285 345 437 855 1035 1311 2185 3933 6555 19665 1144378973 3433136919 5721894865 10299410757 17165684595 21743200487 26320716379 51497053785 65229601461 78962149137 108716002435 131603581895 195688804383 236886447411 326148007305 394810745685 500093611201 978444021915 1184432237055 1500280833603 2500468056005 4500842500809 7501404168015 22504212504045