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125843487840 = 25335731113381
BaseRepresentation
bin111010100110011011…
…0110011110001100000
3110000211020201112212000
41311030312303301200
54030211413102330
6133451154404000
712043342666050
oct1651466636140
9400736645760
10125843487840
1149408406014
1220480890600
13bb36a14095
14613b453560
153417ec4560
hex1d4cdb3c60

125843487840 has 384 divisors, whose sum is σ = 505030256640. Its totient is φ = 28669593600.

The previous prime is 125843487761. The next prime is 125843487857. The reversal of 125843487840 is 48784348521.

125843487840 is a `hidden beast` number, since 1 + 2 + 5 + 84 + 3 + 487 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9397950 + ... + 9411330.

It is an arithmetic number, because the mean of its divisors is an integer number (1315182960).

Almost surely, 2125843487840 is an apocalyptic number.

125843487840 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 125843487840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252515128320).

125843487840 is an abundant number, since it is smaller than the sum of its proper divisors (379186768800).

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

125843487840 is a wasteful number, since it uses less digits than its factorization.

125843487840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13723 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 125843487840 in words is "one hundred twenty-five billion, eight hundred forty-three million, four hundred eighty-seven thousand, eight hundred forty".