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50782686448 = 2413679373889
BaseRepresentation
bin101111010010111000…
…100100110011110000
311212002010120202120211
4233102320210303300
51313000331431243
635155041113504
73445304466304
oct572270446360
9155063522524
1050782686448
111a59a558a5a
129a13028894
134a33c701c0
14265a66dd04
1514c344bd9d
hexbd2e24cf0

50782686448 has 80 divisors (see below), whose sum is σ = 107683975840. Its totient is φ = 23057768448.

The previous prime is 50782686413. The next prime is 50782686497. The reversal of 50782686448 is 84468628705.

50782686448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 50782686392 and 50782686401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13056088 + ... + 13059976.

It is an arithmetic number, because the mean of its divisors is an integer number (1346049698).

Almost surely, 250782686448 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 50782686448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53841987920).

50782686448 is an abundant number, since it is smaller than the sum of its proper divisors (56901289392).

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

50782686448 is a wasteful number, since it uses less digits than its factorization.

50782686448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 58.

The spelling of 50782686448 in words is "fifty billion, seven hundred eighty-two million, six hundred eighty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 536 871 937 1072 1742 1874 3484 3748 3889 6968 7496 7778 12181 13936 14992 15556 24362 31112 48724 50557 62224 62779 97448 101114 125558 194896 202228 251116 260563 404456 502232 521126 808912 816127 1004464 1042252 1632254 2084504 3264508 3387319 3643993 4169008 6529016 6774638 7287986 13058032 13549276 14575972 27098552 29151944 47371909 54197104 58303888 94743818 189487636 244147531 378975272 488295062 757950544 976590124 1953180248 3173917903 3906360496 6347835806 12695671612 25391343224 50782686448