Search a number
-
+
53921363600 = 245213432391009
BaseRepresentation
bin110010001101111101…
…101011011010010000
312011011212120002012202
4302031331223122100
51340412332113400
640434321542332
73616136012456
oct621575533220
9164155502182
1053921363600
1120960227615
12a54a1a49a8
1351142ba910
1428774549d6
151608c854d5
hexc8df6b690

53921363600 has 240 divisors, whose sum is σ = 143494982400. Its totient is φ = 19345858560.

The previous prime is 53921363563. The next prime is 53921363611. The reversal of 53921363600 is 636312935.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53439896 + ... + 53440904.

It is an arithmetic number, because the mean of its divisors is an integer number (597895760).

Almost surely, 253921363600 is an apocalyptic number.

53921363600 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 53921363600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71747491200).

53921363600 is an abundant number, since it is smaller than the sum of its proper divisors (89573618800).

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

53921363600 is a wasteful number, since it uses less digits than its factorization.

53921363600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 38.

The spelling of 53921363600 in words is "fifty-three billion, nine hundred twenty-one million, three hundred sixty-three thousand, six hundred".