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54656632848 = 2437965322073
BaseRepresentation
bin110010111001110010…
…100000100000010000
312020002010002122000010
4302321302200200100
51343414044222343
641035305154520
73643304466546
oct627162404020
9166063078003
1054656632848
11211a8276254
12a71448ba40
13520072848c
142906d6dd96
15164d5c2d33
hexcb9ca0810

54656632848 has 80 divisors (see below), whose sum is σ = 143209048320. Its totient is φ = 17959898112.

The previous prime is 54656632847. The next prime is 54656632903. The reversal of 54656632848 is 84823665645.

It is a happy number.

It is a super-2 number, since 2×546566328482 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54656632847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2465140 + ... + 2487212.

It is an arithmetic number, because the mean of its divisors is an integer number (1790113104).

Almost surely, 254656632848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54656632848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71604524160).

54656632848 is an abundant number, since it is smaller than the sum of its proper divisors (88552415472).

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

54656632848 is a wasteful number, since it uses less digits than its factorization.

54656632848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22816 (or 22810 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 57.

The spelling of 54656632848 in words is "fifty-four billion, six hundred fifty-six million, six hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 653 948 1264 1306 1896 1959 2612 3792 3918 5224 7836 10448 15672 22073 31344 44146 51587 66219 88292 103174 132438 154761 176584 206348 264876 309522 353168 412696 529752 619044 825392 1059504 1238088 1743767 2476176 3487534 5231301 6975068 10462602 13950136 14413669 20925204 27900272 28827338 41850408 43241007 57654676 83700816 86482014 115309352 172964028 230618704 345928056 691856112 1138679851 2277359702 3416039553 4554719404 6832079106 9109438808 13664158212 18218877616 27328316424 54656632848