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48960691416 = 2332721329131281
BaseRepresentation
bin101101100110010010…
…001101110011011000
311200101011011211021100
4231212102031303120
51300232414111131
634254153311400
73352202003400
oct554622156330
9150334154240
1048960691416
111984504113a
1295a4a05560
13480364b930
1425266ad800
1514184eb7e6
hexb6648dcd8

48960691416 has 576 divisors, whose sum is σ = 173772799200. Its totient is φ = 12328243200.

The previous prime is 48960691379. The next prime is 48960691477. The reversal of 48960691416 is 61419606984.

It is a happy number.

48960691416 is a `hidden beast` number, since 4 + 8 + 9 + 606 + 9 + 14 + 16 = 666.

48960691416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174237196 + ... + 174237476.

Almost surely, 248960691416 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 48960691416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86886399600).

48960691416 is an abundant number, since it is smaller than the sum of its proper divisors (124812107784).

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

48960691416 is a wasteful number, since it uses less digits than its factorization.

48960691416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 48960691416 in words is "forty-eight billion, nine hundred sixty million, six hundred ninety-one thousand, four hundred sixteen".