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126826539840 = 2632571113293741
BaseRepresentation
bin111011000011101110…
…0110110101101000000
3110010100202111202200100
41312013130312231000
54034220043233330
6134132512522400
712106610541630
oct1660734665500
9403322452610
10126826539840
1149872303590
12206b5b50400
13bc62599060
1461d1c2c6c0
153474459060
hex1d87736b40

126826539840 has 2688 divisors, whose sum is σ = 637458232320. Its totient is φ = 22295347200.

The previous prime is 126826539839. The next prime is 126826539841. The reversal of 126826539840 is 48935628621.

126826539840 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 26 + 539 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126826539839) and next prime (126826539841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126826539841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3093330220 + ... + 3093330260.

It is an arithmetic number, because the mean of its divisors is an integer number (237149640).

Almost surely, 2126826539840 is an apocalyptic number.

126826539840 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 126826539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729116160).

126826539840 is an abundant number, since it is smaller than the sum of its proper divisors (510631692480).

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

126826539840 is a wasteful number, since it uses less digits than its factorization.

126826539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

It can be divided in two parts, 126826 and 539840, that added together give a palindrome (666666).

The spelling of 126826539840 in words is "one hundred twenty-six billion, eight hundred twenty-six million, five hundred thirty-nine thousand, eight hundred forty".