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52298784000 = 28345320177
BaseRepresentation
bin110000101101010000…
…000001110100000000
311222222210101111110000
4300231100001310000
51324101442042000
640005320240000
73531004220631
oct605520016400
9158883344400
1052298784000
11201a8333541
12a176910000
134c160aa548
142761b63888
1515615c6000
hexc2d401d00

52298784000 has 360 divisors, whose sum is σ = 194629643208. Its totient is φ = 13945651200.

The previous prime is 52298783959. The next prime is 52298784007. The reversal of 52298784000 is 48789225.

52298784000 is a `hidden beast` number, since 522 + 9 + 87 + 8 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 664402176 + 51634381824 = 25776^2 + 227232^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52298784007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2581912 + ... + 2602088.

Almost surely, 252298784000 is an apocalyptic number.

52298784000 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 52298784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97314821604).

52298784000 is an abundant number, since it is smaller than the sum of its proper divisors (142330859208).

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

52298784000 is an equidigital number, since it uses as much as digits as its factorization.

52298784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20220 (or 20187 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 52298784000 in words is "fifty-two billion, two hundred ninety-eight million, seven hundred eighty-four thousand".