Search a number
-
+
55008094131 = 32171979239527
BaseRepresentation
bin110011001110101111…
…001110011110110011
312020222121102201020200
4303032233032132303
51400124033003011
641134222210243
73655103041164
oct631657163663
9166877381220
1055008094131
11213686a9321
12a7b2123983
1352584a3833
14293b8db76b
15166e399856
hexccebce7b3

55008094131 has 48 divisors (see below), whose sum is σ = 89679283200. Its totient is φ = 32284272384.

The previous prime is 55008094121. The next prime is 55008094133. The reversal of 55008094131 is 13149080055.

55008094131 is a `hidden beast` number, since 5 + 500 + 80 + 9 + 41 + 31 = 666.

It is not a de Polignac number, because 55008094131 - 26 = 55008094067 is a prime.

It is a super-2 number, since 2×550080941312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55008094133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109890 + ... + 349416.

It is an arithmetic number, because the mean of its divisors is an integer number (1868318400).

Almost surely, 255008094131 is an apocalyptic number.

55008094131 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

55008094131 is a deficient number, since it is larger than the sum of its proper divisors (34671189069).

55008094131 is a wasteful number, since it uses less digits than its factorization.

55008094131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239648 (or 239645 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 55008094131 in words is "fifty-five billion, eight million, ninety-four thousand, one hundred thirty-one".

Divisors: 1 3 9 17 19 51 57 79 153 171 237 323 711 969 1343 1501 2907 4029 4503 12087 13509 25517 76551 229653 239527 718581 2155743 4071959 4551013 12215877 13653039 18922633 36647631 40959117 56767899 77367221 170303697 232101663 321684761 359530027 696304989 965054283 1078590081 2895162849 3235770243 6112010459 18336031377 55008094131