Search a number
-
+
46525003980 = 22357131719233137
BaseRepresentation
bin101011010101000110…
…110011100011001100
311110002102000002020120
4223111012303203030
51230240400111410
633212344144540
73234635003010
oct532506634314
9143072002216
1046525003980
1118805174114
129025168150
134505b49370
142375000540
151324776570
hexad51b38cc

46525003980 has 1536 divisors, whose sum is σ = 197685411840. Its totient is φ = 7882997760.

The previous prime is 46525003909. The next prime is 46525004023. The reversal of 46525003980 is 8930052564.

46525003980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1257432522 + ... + 1257432558.

It is an arithmetic number, because the mean of its divisors is an integer number (128701440).

Almost surely, 246525003980 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 46525003980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98842705920).

46525003980 is an abundant number, since it is smaller than the sum of its proper divisors (151160407860).

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

46525003980 is a wasteful number, since it uses less digits than its factorization.

46525003980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 46525003980 in words is "forty-six billion, five hundred twenty-five million, three thousand, nine hundred eighty".