Search a number
-
+
59042740084608 = 27371916722933019
BaseRepresentation
bin11010110110010111101011…
…00011001001111110000000
321202001102122001222100102210
431123023311203021332000
530214324012430201413
6325323505500142120
715302461066053150
oct1533136543117600
9252042561870383
1059042740084608
11178a398159a395
126756a66237940
1326c3925244b57
141081980766760
156c5c856753c3
hex35b2f58c9f80

59042740084608 has 512 divisors, whose sum is σ = 189945842688000. Its totient is φ = 15873608392704.

The previous prime is 59042740084597. The next prime is 59042740084639. The reversal of 59042740084608 is 80648004724095.

59042740084608 is digitally balanced in base 5, 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 (57).

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, 19557050523 + ... + 19557053541.

It is an arithmetic number, because the mean of its divisors is an integer number (370987974000).

Almost surely, 259042740084608 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 59042740084608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94972921344000).

59042740084608 is an abundant number, since it is smaller than the sum of its proper divisors (130903102603392).

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

59042740084608 is a wasteful number, since it uses less digits than its factorization.

59042740084608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 59042740084608 in words is "fifty-nine trillion, forty-two billion, seven hundred forty million, eighty-four thousand, six hundred eight".