Search a number
-
+
52856466300 = 2233521121731307
BaseRepresentation
bin110001001110011111…
…011010101101111100
312001102122202200202000
4301032133122231330
51331222223410200
640140521302300
73550555356561
oct611637325574
9161378680660
1052856466300
1120464108500
12a2b1634990
134ca47aa681
1427b5c52868
151595535300
hexc4e7dab7c

52856466300 has 864 divisors, whose sum is σ = 204806891520. Its totient is φ = 11632896000.

The previous prime is 52856466253. The next prime is 52856466319. The reversal of 52856466300 is 366465825.

52856466300 is a `hidden beast` number, since 5 + 2 + 8 + 5 + 6 + 4 + 6 + 630 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 172170747 + ... + 172171053.

Almost surely, 252856466300 is an apocalyptic number.

52856466300 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 52856466300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102403445760).

52856466300 is an abundant number, since it is smaller than the sum of its proper divisors (151950425220).

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

52856466300 is a wasteful number, since it uses less digits than its factorization.

52856466300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 52856466300 in words is "fifty-two billion, eight hundred fifty-six million, four hundred sixty-six thousand, three hundred".