Search a number
-
+
59421298560 = 27351323891163
BaseRepresentation
bin110111010101110010…
…010000111110000000
312200101011122201121120
4313111302100332000
51433143323023220
643144152352240
74202341463331
oct672562207600
9180334581546
1059421298560
1123222857108
12b6240a5680
1357ac8aaac0
142c39a92288
15182ba40a40
hexdd5c90f80

59421298560 has 512 divisors, whose sum is σ = 215420083200. Its totient is φ = 13821739008.

The previous prime is 59421298523. The next prime is 59421298561. The reversal of 59421298560 is 6589212495.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59421298561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51092539 + ... + 51093701.

It is an arithmetic number, because the mean of its divisors is an integer number (420742350).

Almost surely, 259421298560 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 59421298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107710041600).

59421298560 is an abundant number, since it is smaller than the sum of its proper divisors (155998784640).

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

59421298560 is a wasteful number, since it uses less digits than its factorization.

59421298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 59421298560 in words is "fifty-nine billion, four hundred twenty-one million, two hundred ninety-eight thousand, five hundred sixty".