Search a number
-
+
53192905200 = 24335212893821
BaseRepresentation
bin110001100010100010…
…110101000111110000
312002022002211120011000
4301202202311013300
51332414340431300
640234140322000
73562112143161
oct614242650760
9162262746130
1053192905200
112061700aa86
12a386243300
1350293c6146
1428087cd768
1515b4d40c00
hexc628b51f0

53192905200 has 240 divisors, whose sum is σ = 189523807200. Its totient is φ = 14170060800.

The previous prime is 53192905189. The next prime is 53192905289. The reversal of 53192905200 is 250929135.

It is a happy number.

53192905200 is a `hidden beast` number, since 5 + 319 + 290 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13919290 + ... + 13923110.

It is an arithmetic number, because the mean of its divisors is an integer number (789682530).

Almost surely, 253192905200 is an apocalyptic number.

53192905200 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 53192905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94761903600).

53192905200 is an abundant number, since it is smaller than the sum of its proper divisors (136330902000).

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

53192905200 is a wasteful number, since it uses less digits than its factorization.

53192905200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 53192905200 in words is "fifty-three billion, one hundred ninety-two million, nine hundred five thousand, two hundred".