Search a number
-
+
925830298306560 = 21135232314379541
BaseRepresentation
bin1101001010000010011010101…
…0000011011000100000000000
311111102002111211100011120200010
43102200212222003120200000
51432322300422331302220
613041024322321424520
7366004013605022523
oct32240465203304000
94442074740146603
10925830298306560
11248aa8474058929
1287a0814579b140
133097a56535522a
141248a5d592abba
157207e862c71e0
hex34a09aa0d8800

925830298306560 has 2304 divisors, whose sum is σ = 3318044508979200. Its totient is φ = 219988190822400.

The previous prime is 925830298306547. The next prime is 925830298306567. The reversal of 925830298306560 is 65603892038529.

It is a junction number, because it is equal to n+sod(n) for n = 925830298306491 and 925830298306500.

It is not an unprimeable number, because it can be changed into a prime (925830298306567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1711331419890 + ... + 1711331420430.

It is an arithmetic number, because the mean of its divisors is an integer number (1440123484800).

Almost surely, 2925830298306560 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 925830298306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659022254489600).

925830298306560 is an abundant number, since it is smaller than the sum of its proper divisors (2392214210672640).

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

925830298306560 is a wasteful number, since it uses less digits than its factorization.

925830298306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 66.

The spelling of 925830298306560 in words is "nine hundred twenty-five trillion, eight hundred thirty billion, two hundred ninety-eight million, three hundred six thousand, five hundred sixty".