Search a number
-
+
50916867456 = 2737213415077
BaseRepresentation
bin101111011010111000…
…011011110110000000
311212102111001212022210
4233122320123312000
51313234204224311
635220233102120
73451524142500
oct573270336600
9155374055283
1050916867456
111a659276154
129a4bb57940
134a559c0a50
1426703dba00
1514d01043a6
hexbdae1bd80

50916867456 has 384 divisors, whose sum is σ = 173598132960. Its totient is φ = 13098516480.

The previous prime is 50916867403. The next prime is 50916867473. The reversal of 50916867456 is 65476861905.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 50916867396 and 50916867405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10026390 + ... + 10031466.

Almost surely, 250916867456 is an apocalyptic number.

50916867456 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 50916867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86799066480).

50916867456 is an abundant number, since it is smaller than the sum of its proper divisors (122681265504).

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

50916867456 is a wasteful number, since it uses less digits than its factorization.

50916867456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 50916867456 in words is "fifty billion, nine hundred sixteen million, eight hundred sixty-seven thousand, four hundred fifty-six".