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51873274656 = 2532731382207
BaseRepresentation
bin110000010011111000…
…110101101100100000
311221220010201101100200
4300103320311230200
51322214024242111
635455200145200
73514316362620
oct602370655440
9157803641320
1051873274656
111aaaa125025
12a078308200
134b78ba6c78
14272143c880
151539074256
hexc13e35b20

51873274656 has 144 divisors (see below), whose sum is σ = 169128820224. Its totient is φ = 14773404672.

The previous prime is 51873274639. The next prime is 51873274657. The reversal of 51873274656 is 65647237815.

51873274656 is a `hidden beast` number, since 518 + 7 + 3 + 2 + 74 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (51873274657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589905 + ... + 672111.

It is an arithmetic number, because the mean of its divisors is an integer number (1174505696).

Almost surely, 251873274656 is an apocalyptic number.

51873274656 is a gapful number since it is divisible by the number (56) 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 51873274656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84564410112).

51873274656 is an abundant number, since it is smaller than the sum of its proper divisors (117255545568).

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

51873274656 is a wasteful number, since it uses less digits than its factorization.

51873274656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82543 (or 82532 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 51873274656 in words is "fifty-one billion, eight hundred seventy-three million, two hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 313 336 504 626 672 939 1008 1252 1878 2016 2191 2504 2817 3756 4382 5008 5634 6573 7512 8764 10016 11268 13146 15024 17528 19719 22536 26292 30048 35056 39438 45072 52584 70112 78876 82207 90144 105168 157752 164414 210336 246621 315504 328828 493242 575449 631008 657656 739863 986484 1150898 1315312 1479726 1726347 1972968 2301796 2630624 2959452 3452694 3945936 4603592 5179041 5918904 6905388 7891872 9207184 10358082 11837808 13810776 18414368 20716164 23675616 25730791 27621552 41432328 51461582 55243104 77192373 82864656 102923164 154384746 165729312 180115537 205846328 231577119 308769492 360231074 411692656 463154238 540346611 617538984 720462148 823385312 926308476 1080693222 1235077968 1440924296 1621039833 1852616952 2161386444 2470155936 2881848592 3242079666 3705233904 4322772888 5763697184 6484159332 7410467808 8645545776 12968318664 17291091552 25936637328 51873274656