Search a number
-
+
50753906640 = 2434517538693
BaseRepresentation
bin101111010001001010…
…110010011111010000
311212000010102121010000
4233101022302133100
51312421000003030
635152132210000
73444505042203
oct572112623720
9155003377100
1050753906640
111a585291298
129a05469900
134a2b004728
1426568db93a
1514c0b64860
hexbd12b27d0

50753906640 has 400 divisors, whose sum is σ = 190188483408. Its totient is φ = 12496453632.

The previous prime is 50753906629. The next prime is 50753906653. The reversal of 50753906640 is 4660935705.

50753906640 is a `hidden beast` number, since 50 + 7 + 539 + 0 + 6 + 64 + 0 = 666.

50753906640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 387774864 + 50366131776 = 19692^2 + 224424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5834134 + ... + 5842826.

Almost surely, 250753906640 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 50753906640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95094241704).

50753906640 is an abundant number, since it is smaller than the sum of its proper divisors (139434576768).

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

50753906640 is a wasteful number, since it uses less digits than its factorization.

50753906640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8788 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 50753906640 in words is "fifty billion, seven hundred fifty-three million, nine hundred six thousand, six hundred forty".