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125363456440560 = 243351321091314779
BaseRepresentation
bin11100100000010001110100…
…010010011111100011110000
3121102212121222211022100221000
4130200101310102133203300
5112412423324322044220
61122343102110202000
735256132213544602
oct3440216422374360
9542777884270830
10125363456440560
1136a43385a3aa78
121208833bab3300
1354c4952ba4600
1422d58a34ab172
15e75ed043e390
hex72047449f8f0

125363456440560 has 480 divisors, whose sum is σ = 468008558035200. Its totient is φ = 30830314245120.

The previous prime is 125363456440501. The next prime is 125363456440601. The reversal of 125363456440560 is 65044654363521.

125363456440560 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 6 + 34 + 5 + 6 + 4 + 40 + 560 = 666.

It is a super-2 number, since 2×1253634564405602 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 125363456440497 and 125363456440506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398101251 + ... + 398416029.

It is an arithmetic number, because the mean of its divisors is an integer number (975017829240).

Almost surely, 2125363456440560 is an apocalyptic number.

125363456440560 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 125363456440560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234004279017600).

125363456440560 is an abundant number, since it is smaller than the sum of its proper divisors (342645101594640).

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

125363456440560 is a wasteful number, since it uses less digits than its factorization.

125363456440560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315918 (or 315893 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 125363456440560 in words is "one hundred twenty-five trillion, three hundred sixty-three billion, four hundred fifty-six million, four hundred forty thousand, five hundred sixty".