Search a number
-
+
48148354072 = 237133171151199
BaseRepresentation
bin101100110101110111…
…011001010000011000
311121021112121210221001
4230311313121100120
51242101434312242
634041414154344
73323106154060
oct546567312030
9147245553831
1048148354072
1119468544065
1293b89529b4
134704269350
14248a8523a0
1513bc038eb7
hexb35dd9418

48148354072 has 256 divisors, whose sum is σ = 117669888000. Its totient is φ = 17962560000.

The previous prime is 48148354063. The next prime is 48148354087. The reversal of 48148354072 is 27045384184.

48148354072 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 63 ways as a sum of consecutive naturals, for example, 241951429 + ... + 241951627.

It is an arithmetic number, because the mean of its divisors is an integer number (459648000).

Almost surely, 248148354072 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 48148354072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58834944000).

48148354072 is an abundant number, since it is smaller than the sum of its proper divisors (69521533928).

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

48148354072 is a wasteful number, since it uses less digits than its factorization.

48148354072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 48148354072 in words is "forty-eight billion, one hundred forty-eight million, three hundred fifty-four thousand, seventy-two".