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483912136800 = 253252372517237
BaseRepresentation
bin1110000101010110110…
…10010011100001100000
31201021001200001120210100
413002223122103201200
530412023001334200
61010150044302400
746650536203161
oct7025332234140
91637050046710
10483912136800
11177253870794
1279951241a00
133682c1103b1
14195c873d768
15c8c3583d00
hex70ab693860

483912136800 has 432 divisors, whose sum is σ = 1759739213232. Its totient is φ = 125038080000.

The previous prime is 483912136769. The next prime is 483912136801. The reversal of 483912136800 is 8631219384.

483912136800 is a `hidden beast` number, since 48 + 391 + 213 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×4839121368002 (a number of 24 digits) contains 22 as substring.

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 (483912136801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66862782 + ... + 66870018.

It is an arithmetic number, because the mean of its divisors is an integer number (4073470401).

Almost surely, 2483912136800 is an apocalyptic number.

483912136800 is a gapful number since it is divisible by the number (40) 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 483912136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879869606616).

483912136800 is an abundant number, since it is smaller than the sum of its proper divisors (1275827076432).

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

483912136800 is a wasteful number, since it uses less digits than its factorization.

483912136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 483912136800 in words is "four hundred eighty-three billion, nine hundred twelve million, one hundred thirty-six thousand, eight hundred".