Search a number
-
+
52481216000 = 295323101353
BaseRepresentation
bin110000111000000111…
…111100111000000000
312000110111200000002202
4300320013330320000
51324440142403000
640035354332332
73535350655433
oct607007747000
9160414600082
1052481216000
1120291307394
12a207a2a0a8
134c44b23385
14277c09181a
15157260edd5
hexc381fce00

52481216000 has 320 divisors, whose sum is σ = 138297684096. Its totient is φ = 19824640000.

The previous prime is 52481215961. The next prime is 52481216009. The reversal of 52481216000 is 61218425.

It is a tau number, because it is divible by the number of its divisors (320).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52481216009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148671824 + ... + 148672176.

Almost surely, 252481216000 is an apocalyptic number.

52481216000 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 52481216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69148842048).

52481216000 is an abundant number, since it is smaller than the sum of its proper divisors (85816468096).

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

52481216000 is a wasteful number, since it uses less digits than its factorization.

52481216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 52481216000 in words is "fifty-two billion, four hundred eighty-one million, two hundred sixteen thousand".