Search a number
-
+
50967278460 = 22345721947719
BaseRepresentation
bin101111011101111000…
…101111001101111100
311212112222221000020000
4233131320233031330
51313340110402320
635225233354300
73453005501400
oct573570571574
9155488830200
1050967278460
111a68477773a
129a64a08990
134a63291247
142676da1100
1514d4760c90
hexbdde2f37c

50967278460 has 720 divisors, whose sum is σ = 200222668800. Its totient is φ = 10786680576.

The previous prime is 50967278447. The next prime is 50967278471. The reversal of 50967278460 is 6487276905.

50967278460 is a `hidden beast` number, since 50 + 9 + 67 + 2 + 78 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 50967278397 and 50967278406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 70885981 + ... + 70886699.

It is an arithmetic number, because the mean of its divisors is an integer number (278087040).

Almost surely, 250967278460 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 50967278460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100111334400).

50967278460 is an abundant number, since it is smaller than the sum of its proper divisors (149255390340).

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

50967278460 is a wasteful number, since it uses less digits than its factorization.

50967278460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 50967278460 in words is "fifty billion, nine hundred sixty-seven million, two hundred seventy-eight thousand, four hundred sixty".