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125680710600 = 23325269822617
BaseRepresentation
bin111010100001100100…
…1110111001111001000
3110000101220102121110100
41311003021313033020
54024343230214400
6133423101445400
712036325261614
oct1650311671710
9400356377410
10125680710600
1149334537075
1220436270860
13bb0c0904a3
1461239a0344
153408a6e100
hex1d432773c8

125680710600 has 72 divisors (see below), whose sum is σ = 422077725810. Its totient is φ = 33514855680.

The previous prime is 125680710593. The next prime is 125680710611. The reversal of 125680710600 is 6017086521.

It can be written as a sum of positive squares in 3 ways, for example, as 113869802916 + 11810907684 = 337446^2 + 108678^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 34909509 + ... + 34913108.

Almost surely, 2125680710600 is an apocalyptic number.

125680710600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125680710600 is an abundant number, since it is smaller than the sum of its proper divisors (296397015210).

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

125680710600 is a wasteful number, since it uses less digits than its factorization.

125680710600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69822639 (or 69822627 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 125680710600 in words is "one hundred twenty-five billion, six hundred eighty million, seven hundred ten thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 69822617 139645234 209467851 279290468 349113085 418935702 558580936 628403553 698226170 837871404 1047339255 1256807106 1396452340 1675742808 1745565425 2094678510 2513614212 2792904680 3142017765 3491130850 4189357020 5027228424 5236696275 6284035530 6982261700 8378714040 10473392550 12568071060 13964523400 15710088825 20946785100 25136142120 31420177650 41893570200 62840355300 125680710600