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48688605000 = 2332547271311
BaseRepresentation
bin101101010110000100…
…010010011101001000
311122200012012101212200
4231112010102131020
51244203240330000
634211153440200
73342356212500
oct552604223510
9148605171780
1048688605000
11197154a2632
129529870060
13478c175259
1424dc4c4a00
1513ee6a3500
hexb56112748

48688605000 has 720 divisors, whose sum is σ = 195005828160. Its totient is φ = 10936800000.

The previous prime is 48688604959. The next prime is 48688605019. The reversal of 48688605000 is 50688684.

48688605000 is a `hidden beast` number, since 4 + 8 + 6 + 88 + 60 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 156554845 + ... + 156555155.

It is an arithmetic number, because the mean of its divisors is an integer number (270841428).

Almost surely, 248688605000 is an apocalyptic number.

48688605000 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 48688605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97502914080).

48688605000 is an abundant number, since it is smaller than the sum of its proper divisors (146317223160).

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

48688605000 is a wasteful number, since it uses less digits than its factorization.

48688605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 48688605000 in words is "forty-eight billion, six hundred eighty-eight million, six hundred five thousand".