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125372222807040 = 2103651131137719
BaseRepresentation
bin11100100000011001111110…
…110011100001110000000000
3121102220110121202202221000000
4130200121332303201300000
5112413044303014311130
61122351112024000000
735256562361460426
oct3440317663416000
9542813552687000
10125372222807040
1136a47074366950
1212089b87900000
1354c571c122801
1422d6095867116
15e76344d6b260
hex72067ece1c00

125372222807040 has 2464 divisors, whose sum is σ = 512191140618240. Its totient is φ = 29157536563200.

The previous prime is 125372222807033. The next prime is 125372222807093. The reversal of 125372222807040 is 40708222273521.

125372222807040 is a `hidden beast` number, since 1 + 2 + 537 + 2 + 2 + 2 + 2 + 8 + 0 + 70 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 174370267801 + ... + 174370268519.

Almost surely, 2125372222807040 is an apocalyptic number.

125372222807040 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 125372222807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256095570309120).

125372222807040 is an abundant number, since it is smaller than the sum of its proper divisors (386818917811200).

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

125372222807040 is a wasteful number, since it uses less digits than its factorization.

125372222807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 125372222807040 in words is "one hundred twenty-five trillion, three hundred seventy-two billion, two hundred twenty-two million, eight hundred seven thousand, forty".