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48659247360 = 2832579127421
BaseRepresentation
bin101101010100010100…
…010011000100000000
311122121010221212202200
4231110110103010000
51244123231403420
634204224313200
73341551530633
oct552424230400
9148533855680
1048659247360
11196aa970819
12951ba72800
134786066779
1424d8641c1a
1513ebd04b90
hexb54513100

48659247360 has 432 divisors, whose sum is σ = 172237578240. Its totient is φ = 12680478720.

The previous prime is 48659247337. The next prime is 48659247367. The reversal of 48659247360 is 6374295684.

48659247360 is a `hidden beast` number, since 4 + 8 + 6 + 592 + 47 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48659247297 and 48659247306.

It is not an unprimeable number, because it can be changed into a prime (48659247367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115579950 + ... + 115580370.

Almost surely, 248659247360 is an apocalyptic number.

48659247360 is a gapful number since it is divisible by the number (40) 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 48659247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86118789120).

48659247360 is an abundant number, since it is smaller than the sum of its proper divisors (123578330880).

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

48659247360 is a wasteful number, since it uses less digits than its factorization.

48659247360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 48659247360 in words is "forty-eight billion, six hundred fifty-nine million, two hundred forty-seven thousand, three hundred sixty".