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48946203072 = 2636131747101
BaseRepresentation
bin101101100101011010…
…111100100111000000
311200100010220202000000
4231211122330213000
51300220211444242
634252515000000
73351634601334
oct554532744700
9150303822000
1048946203072
11198379458a8
12959bb99000
134800648150
1425247bb7c4
1514170d8a4c
hexb656bc9c0

48946203072 has 784 divisors, whose sum is σ = 171263901312. Its totient is φ = 13735526400.

The previous prime is 48946203041. The next prime is 48946203083. The reversal of 48946203072 is 27030264984.

48946203072 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 111 ways as a sum of consecutive naturals, for example, 484615822 + ... + 484615922.

Almost surely, 248946203072 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 48946203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85631950656).

48946203072 is an abundant number, since it is smaller than the sum of its proper divisors (122317698240).

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

48946203072 is a wasteful number, since it uses less digits than its factorization.

48946203072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 48946203072 in words is "forty-eight billion, nine hundred forty-six million, two hundred three thousand, seventy-two".