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125227549440 = 2832572953549
BaseRepresentation
bin111010010100000100…
…1001100001100000000
3102222020022201122012200
41310220021030030000
54022431223040230
6133310112553200
712022153415220
oct1645011141400
9388208648180
10125227549440
1149121761414
122032a552800
13ba692279a6
1460bd71c080
1533cdda9160
hex1d2824c300

125227549440 has 432 divisors, whose sum is σ = 512255016000. Its totient is φ = 27635908608.

The previous prime is 125227549417. The next prime is 125227549451. The reversal of 125227549440 is 44945722521.

125227549440 is a `hidden beast` number, since 1 + 2 + 52 + 2 + 75 + 494 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2311786 + ... + 2365334.

It is an arithmetic number, because the mean of its divisors is an integer number (1185775500).

Almost surely, 2125227549440 is an apocalyptic number.

125227549440 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 125227549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256127508000).

125227549440 is an abundant number, since it is smaller than the sum of its proper divisors (387027466560).

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

125227549440 is a wasteful number, since it uses less digits than its factorization.

125227549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53612 (or 53595 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 125227549440 in words is "one hundred twenty-five billion, two hundred twenty-seven million, five hundred forty-nine thousand, four hundred forty".