Search a number
-
+
54363612501 = 321138310871319
BaseRepresentation
bin110010101000010100…
…101110010101010101
312012022200201122122200
4302220110232111111
51342314041100001
640550240515113
73633116040042
oct625024562525
9165280648580
1054363612501
1121067929780
12a65231ba99
135184b02563
1428ba0961c9
1516329e2086
hexca852e555

54363612501 has 48 divisors (see below), whose sum is σ = 86031728640. Its totient is φ = 32806496160.

The previous prime is 54363612491. The next prime is 54363612509. The reversal of 54363612501 is 10521636345.

54363612501 is a `hidden beast` number, since 5 + 4 + 3 + 636 + 12 + 5 + 0 + 1 = 666.

It is not a de Polignac number, because 54363612501 - 218 = 54363350357 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54363612509) 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, 41215120 + ... + 41216438.

It is an arithmetic number, because the mean of its divisors is an integer number (1792327680).

Almost surely, 254363612501 is an apocalyptic number.

It is an amenable number.

54363612501 is a deficient number, since it is larger than the sum of its proper divisors (31668116139).

54363612501 is a wasteful number, since it uses less digits than its factorization.

54363612501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 54363612501 in words is "fifty-four billion, three hundred sixty-three million, six hundred twelve thousand, five hundred one".

Divisors: 1 3 9 11 33 99 383 1087 1149 1319 3261 3447 3957 4213 9783 11871 11957 12639 14509 35871 37917 43527 107613 130581 416321 505177 1248963 1433753 1515531 3746889 4301259 4546593 4579531 5556947 12903777 13738593 15771283 16670841 41215779 47313849 50012523 141941547 549127399 1647382197 4942146591 6040401389 18121204167 54363612501