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53335144700 = 22521934576047
BaseRepresentation
bin110001101011000001…
…011011100011111100
312002200000111002001122
4301223001123203330
51333212244112300
640300221130112
73565460151455
oct615301334374
9162600432048
1053335144700
112068a331692
12a4059b9938
13504ca08926
14281d65812c
1515c258ac85
hexc6b05b8fc

53335144700 has 72 divisors (see below), whose sum is σ = 116610786432. Its totient is φ = 21173575680.

The previous prime is 53335144699. The next prime is 53335144781. The reversal of 53335144700 is 744153335.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8817077 + ... + 8823123.

It is an arithmetic number, because the mean of its divisors is an integer number (1619594256).

Almost surely, 253335144700 is an apocalyptic number.

53335144700 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 53335144700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58305393216).

53335144700 is an abundant number, since it is smaller than the sum of its proper divisors (63275641732).

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

53335144700 is a wasteful number, since it uses less digits than its factorization.

53335144700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6711 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

The spelling of 53335144700 in words is "fifty-three billion, three hundred thirty-five million, one hundred forty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 457 772 914 965 1828 1930 2285 3860 4570 4825 6047 9140 9650 11425 12094 19300 22850 24188 30235 45700 60470 88201 120940 151175 176402 302350 352804 441005 604700 882010 1167071 1764020 2205025 2334142 2763479 4410050 4668284 5526958 5835355 8820100 11053916 11670710 13817395 23341420 27634790 29176775 55269580 58353550 69086975 116707100 138173950 276347900 533351447 1066702894 2133405788 2666757235 5333514470 10667028940 13333786175 26667572350 53335144700