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59150730240 = 21032572172367
BaseRepresentation
bin110111000101101010…
…001000010000000000
312122200022112102122200
4313011222020100000
51432120041331430
643101245233200
74162544624400
oct670552102000
9178608472580
1059150730240
11230a4055128
12b569562800
1357688163c4
142c11b80800
151812de7460
hexdc5a88400

59150730240 has 1584 divisors, whose sum is σ = 267349859712. Its totient is φ = 11989942272.

The previous prime is 59150730209. The next prime is 59150730293. The reversal of 59150730240 is 4203705195.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59150730195 and 59150730204.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 882846687 + ... + 882846753.

Almost surely, 259150730240 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 59150730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133674929856).

59150730240 is an abundant number, since it is smaller than the sum of its proper divisors (208199129472).

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

59150730240 is a wasteful number, since it uses less digits than its factorization.

59150730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 59150730240 in words is "fifty-nine billion, one hundred fifty million, seven hundred thirty thousand, two hundred forty".