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53450245200 = 243521119213119
BaseRepresentation
bin110001110001111000…
…100000010001010000
312002222001001210021010
4301301320200101100
51333431230321300
640315452130520
73601355405442
oct616170402120
9162861053233
1053450245200
11207392a7370
12a438466a40
13506a808731
142830a5a492
1515cc724a50
hexc71e20450

53450245200 has 240 divisors, whose sum is σ = 196615987200. Its totient is φ = 12275596800.

The previous prime is 53450245159. The next prime is 53450245201. The reversal of 53450245200 is 254205435.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53450245201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144241 + ... + 357359.

It is an arithmetic number, because the mean of its divisors is an integer number (819233280).

Almost surely, 253450245200 is an apocalyptic number.

53450245200 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 53450245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98307993600).

53450245200 is an abundant number, since it is smaller than the sum of its proper divisors (143165742000).

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

53450245200 is a wasteful number, since it uses less digits than its factorization.

53450245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213170 (or 213159 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 53450245200 in words is "fifty-three billion, four hundred fifty million, two hundred forty-five thousand, two hundred".