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52321075200 = 21434521983
BaseRepresentation
bin110000101110100101…
…000100000000000000
312000001100100000020000
4300232211010000000
51324123143401300
640011434120000
73531364541562
oct605645040000
9160040300200
1052321075200
1120209979219
12a182280000
134c1a8b37c4
142764ac7332
15156352ac00
hexc2e944000

52321075200 has 900 divisors, whose sum is σ = 206487148560. Its totient is φ = 13058703360.

The previous prime is 52321075171. The next prime is 52321075201. The reversal of 52321075200 is 257012325.

52321075200 is a `hidden beast` number, since 5 + 2 + 32 + 107 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52321075201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 630374359 + ... + 630374441.

Almost surely, 252321075200 is an apocalyptic number.

52321075200 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 52321075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103243574280).

52321075200 is an abundant number, since it is smaller than the sum of its proper divisors (154166073360).

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

52321075200 is an equidigital number, since it uses as much as digits as its factorization.

52321075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 52321075200 its reverse (257012325), we get a palindrome (52578087525).

The spelling of 52321075200 in words is "fifty-two billion, three hundred twenty-one million, seventy-five thousand, two hundred".