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536425344000 = 210325372131743
BaseRepresentation
bin1111100111001010111…
…00010010110000000000
31220021121101220220120100
413303211130102300000
532242044342002000
61050232544442400
753520056122500
oct7634534226000
91807541826510
10536425344000
11197551138587
1287b67919400
133b77a754b70
141bd6ab5ba00
15de488b2a00
hex7ce5712c00

536425344000 has 3168 divisors, whose sum is σ = 2623698133056. Its totient is φ = 104044953600.

The previous prime is 536425343969. The next prime is 536425344001. The reversal of 536425344000 is 443524635.

536425344000 is a `hidden beast` number, since 5 + 3 + 642 + 5 + 3 + 4 + 4 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (536425344001) 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 287 ways as a sum of consecutive naturals, for example, 12475007979 + ... + 12475008021.

It is an arithmetic number, because the mean of its divisors is an integer number (828187542).

Almost surely, 2536425344000 is an apocalyptic number.

536425344000 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 536425344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311849066528).

536425344000 is an abundant number, since it is smaller than the sum of its proper divisors (2087272789056).

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

536425344000 is a wasteful number, since it uses less digits than its factorization.

536425344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 536425344000 its reverse (443524635), we get a palindrome (536868868635).

The spelling of 536425344000 in words is "five hundred thirty-six billion, four hundred twenty-five million, three hundred forty-four thousand".