Search a number
-
+
855920759232 = 263711318322501
BaseRepresentation
bin11000111010010001101…
…10100101000111000000
310000211021120220122101110
430131020312211013000
5103010411203243412
61453112104203320
7115560341261340
oct14351066450700
93024246818343
10855920759232
112aaaa2a558a0
12119a72169540
136293655c516
142d5d9158d20
15173e786ad3c
hexc748da51c0

855920759232 has 448 divisors, whose sum is σ = 2949750816768. Its totient is φ = 212544000000.

The previous prime is 855920759227. The next prime is 855920759233. The reversal of 855920759232 is 232957029558.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×8559207592323 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855920759233) 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, 38027982 + ... + 38050482.

It is an arithmetic number, because the mean of its divisors is an integer number (6584265216).

Almost surely, 2855920759232 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 855920759232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474875408384).

855920759232 is an abundant number, since it is smaller than the sum of its proper divisors (2093830057536).

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

855920759232 is a wasteful number, since it uses less digits than its factorization.

855920759232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22648 (or 22638 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 855920759232 in words is "eight hundred fifty-five billion, nine hundred twenty million, seven hundred fifty-nine thousand, two hundred thirty-two".