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51382283968 = 2653163199467
BaseRepresentation
bin101111110110100111…
…110110111011000000
311220121220211110202101
4233312213312323000
51320212331041333
635334340400144
73466205131111
oct576647667300
9156556743671
1051382283968
111a877a614a4
129b5b9a6054
134acb257832
1426b6150208
15150adda67d
hexbf69f6ec0

51382283968 has 112 divisors (see below), whose sum is σ = 105273043200. Its totient is φ = 24872500224.

The previous prime is 51382283959. The next prime is 51382283969. The reversal of 51382283968 is 86938228315.

It is not an unprimeable number, because it can be changed into a prime (51382283969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110026071 + ... + 110026537.

Almost surely, 251382283968 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 51382283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52636521600).

51382283968 is an abundant number, since it is smaller than the sum of its proper divisors (53890759232).

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

51382283968 is a wasteful number, since it uses less digits than its factorization.

51382283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 884 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 55.

The spelling of 51382283968 in words is "fifty-one billion, three hundred eighty-two million, two hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 163 199 212 326 398 424 467 652 796 848 934 1304 1592 1696 1868 2608 3184 3392 3736 5216 6368 7472 8639 10432 10547 12736 14944 17278 21094 24751 29888 32437 34556 42188 49502 64874 69112 76121 84376 92933 99004 129748 138224 152242 168752 185866 198008 259496 276448 304484 337504 371732 396016 518992 552896 608968 675008 743464 792032 1037984 1217936 1486928 1584064 1719161 2075968 2435872 2973856 3438322 4034413 4871744 4925449 5947712 6876644 8068826 9850898 13753288 15148079 16137652 19701796 27506576 30296158 32275304 39403592 55013152 60592316 64550608 78807184 110026304 121184632 129101216 157614368 242369264 258202432 315228736 484738528 802848187 969477056 1605696374 3211392748 6422785496 12845570992 25691141984 51382283968