Search a number
-
+
52803913383936 = 2233211136773
BaseRepresentation
bin11000000000110010111101…
…00000000000000000000000
320220222000010111212100122100
430000121132200000000000
523410114403311241221
6304145441040110400
714056646125064631
oct1400313640000000
9226860114770570
1052803913383936
1115909017567970
125b09903905400
1323605069197c0
14d07a1a067888
1561883e795926
hex30065e800000

52803913383936 has 1152 divisors, whose sum is σ = 184379713801920. Its totient is φ = 14350559477760.

The previous prime is 52803913383919. The next prime is 52803913383937. The reversal of 52803913383936 is 63938331930825.

52803913383936 is a `hidden beast` number, since 5 + 2 + 80 + 3 + 91 + 3 + 383 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (52803913383937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 723341279196 + ... + 723341279268.

Almost surely, 252803913383936 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 52803913383936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92189856900960).

52803913383936 is an abundant number, since it is smaller than the sum of its proper divisors (131575800417984).

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

52803913383936 is an frugal number, since it uses more digits than its factorization.

52803913383936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

It can be divided in two parts, 52803913 and 383936, that added together give a square (53187849 = 72932).

The spelling of 52803913383936 in words is "fifty-two trillion, eight hundred three billion, nine hundred thirteen million, three hundred eighty-three thousand, nine hundred thirty-six".