Search a number
-
+
57523212470000 = 245467798912211
BaseRepresentation
bin11010001010001001010101…
…01001010100011011110000
321112200011110120200121101202
431011010222221110123300
530014430014343020000
6322201444325550332
715054625554332444
oct1505045251243360
9245604416617352
1057523212470000
11173685038a3132
1265504735753a8
13261355328a704
14102c1d185c824
1569b49dc70dd5
hex34512aa546f0

57523212470000 has 400 divisors, whose sum is σ = 144757452787200. Its totient is φ = 22125692160000.

The previous prime is 57523212469991. The next prime is 57523212470027. The reversal of 57523212470000 is 7421232575.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4710763895 + ... + 4710776105.

It is an arithmetic number, because the mean of its divisors is an integer number (361893631968).

Almost surely, 257523212470000 is an apocalyptic number.

57523212470000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57523212470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72378726393600).

57523212470000 is an abundant number, since it is smaller than the sum of its proper divisors (87234240317200).

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

57523212470000 is a wasteful number, since it uses less digits than its factorization.

57523212470000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12474 (or 12453 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The spelling of 57523212470000 in words is "fifty-seven trillion, five hundred twenty-three billion, two hundred twelve million, four hundred seventy thousand".