Search a number
-
+
655453550700 = 223252131997113269
BaseRepresentation
bin10011000100111000001…
…00110111100001101100
32022122211200111022021100
421202130010313201230
541214332102110300
61221040004203100
765232515153334
oct11423404674154
92278750438240
10655453550700
11232a81494a43
12a7046099490
1349a694c99c0
1423a1cdba0c4
15120b33a9700
hex989c13786c

655453550700 has 864 divisors, whose sum is σ = 2382625627200. Its totient is φ = 149378826240.

The previous prime is 655453550683. The next prime is 655453550707. The reversal of 655453550700 is 7055354556.

655453550700 is a `hidden beast` number, since 6 + 5 + 545 + 35 + 5 + 0 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (655453550707) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2436630166 + ... + 2436630434.

It is an arithmetic number, because the mean of its divisors is an integer number (2757668550).

Almost surely, 2655453550700 is an apocalyptic number.

655453550700 is a gapful number since it is divisible by the number (60) 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 655453550700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191312813600).

655453550700 is an abundant number, since it is smaller than the sum of its proper divisors (1727172076500).

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

655453550700 is a wasteful number, since it uses less digits than its factorization.

655453550700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1575000, while the sum is 45.

The spelling of 655453550700 in words is "six hundred fifty-five billion, four hundred fifty-three million, five hundred fifty thousand, seven hundred".