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126443520000 = 216325473
BaseRepresentation
bin111010111000010011…
…1110000000000000000
3110002101001210100020100
41311300213300000000
54032424020120000
6134030511242400
712064250121000
oct1656047600000
9402331710210
10126443520000
1149696086066
1220609819400
13bc011214b5
146197008000
1534509eba00
hex1d709f0000

126443520000 has 1020 divisors, whose sum is σ = 532305545200. Its totient is φ = 28901376000.

The previous prime is 126443519999. The next prime is 126443520001. The reversal of 126443520000 is 25344621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

126443520000 is a `hidden beast` number, since 1 + 26 + 4 + 435 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126443519999) and next prime (126443520001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126443520001) 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 59 ways as a sum of consecutive naturals, for example, 18063359997 + ... + 18063360003.

Almost surely, 2126443520000 is an apocalyptic number.

126443520000 is a gapful number since it is divisible by the number (10) 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 126443520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266152772600).

126443520000 is an abundant number, since it is smaller than the sum of its proper divisors (405862025200).

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

126443520000 is an frugal number, since it uses more digits than its factorization.

126443520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

126443520000 divided by its product of nonzero digits (5760) gives a cube (21952000 = 2803).

Adding to 126443520000 its reverse (25344621), we get a palindrome (126468864621).

The spelling of 126443520000 in words is "one hundred twenty-six billion, four hundred forty-three million, five hundred twenty thousand".