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55065240504 = 2335227124783
BaseRepresentation
bin110011010010001001…
…001110001110111000
312021010120222001100000
4303102021032032320
51400233200144004
641144023113000
73656365551531
oct632211161670
9167116861300
1055065240504
112139799022a
12a8092a2760
135267291961
142945335688
1516743d6c39
hexcd224e3b8

55065240504 has 96 divisors (see below), whose sum is σ = 155341105920. Its totient is φ = 18274074336.

The previous prime is 55065240497. The next prime is 55065240523. The reversal of 55065240504 is 40504256055.

55065240504 is a `hidden beast` number, since 5 + 50 + 65 + 2 + 40 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 378897 + ... + 503679.

It is an arithmetic number, because the mean of its divisors is an integer number (1618136520).

Almost surely, 255065240504 is an apocalyptic number.

55065240504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55065240504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77670552960).

55065240504 is an abundant number, since it is smaller than the sum of its proper divisors (100275865416).

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

55065240504 is a wasteful number, since it uses less digits than its factorization.

55065240504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125031 (or 125015 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 55065240504 its reverse (40504256055), we get a palindrome (95569496559).

The spelling of 55065240504 in words is "fifty-five billion, sixty-five million, two hundred forty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 227 243 324 454 486 648 681 908 972 1362 1816 1944 2043 2724 4086 5448 6129 8172 12258 16344 18387 24516 36774 49032 55161 73548 110322 124783 147096 220644 249566 374349 441288 499132 748698 998264 1123047 1497396 2246094 2994792 3369141 4492188 6738282 8984376 10107423 13476564 20214846 26953128 28325741 30322269 40429692 56651482 60644538 80859384 84977223 113302964 121289076 169954446 226605928 242578152 254931669 339908892 509863338 679817784 764795007 1019726676 1529590014 2039453352 2294385021 3059180028 4588770042 6118360056 6883155063 9177540084 13766310126 18355080168 27532620252 55065240504