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59401203040 = 2553137674831
BaseRepresentation
bin110111010100100101…
…100110110101100000
312200022202211202202001
4313110211212311200
51433123201444130
643142153533344
74202005615654
oct672445466540
9180282752661
1059401203040
1123212481043
12b619414254
1357a869306a
142c37140a64
151829dc16ca
hexdd4966d60

59401203040 has 192 divisors, whose sum is σ = 151029301248. Its totient is φ = 22034073600.

The previous prime is 59401203007. The next prime is 59401203041. The reversal of 59401203040 is 4030210495.

59401203040 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 not an unprimeable number, because it can be changed into a prime (59401203041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12293425 + ... + 12298255.

It is an arithmetic number, because the mean of its divisors is an integer number (786610944).

Almost surely, 259401203040 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 59401203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75514650624).

59401203040 is an abundant number, since it is smaller than the sum of its proper divisors (91628098208).

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

59401203040 is a wasteful number, since it uses less digits than its factorization.

59401203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 59401203040 in words is "fifty-nine billion, four hundred one million, two hundred three thousand, forty".