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125681668245 = 32572127448807
BaseRepresentation
bin111010100001100110…
…1100001000010010101
3110000101222020021002200
41311003031201002111
54024344001340440
6133423134155113
712036336360600
oct1650315410225
9400358207080
10125681668245
1149335030611
1220436652a99
13bb0c337343
146123b6d337
153408bacc30
hex1d43361095

125681668245 has 72 divisors (see below), whose sum is σ = 255411247104. Its totient is φ = 57001952448.

The previous prime is 125681668223. The next prime is 125681668249. The reversal of 125681668245 is 542866186521.

125681668245 is a `hidden beast` number, since 1 + 2 + 568 + 16 + 68 + 2 + 4 + 5 = 666.

It is not a de Polignac number, because 125681668245 - 214 = 125681651861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125681668191 and 125681668200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125681668249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55632 + ... + 504438.

It is an arithmetic number, because the mean of its divisors is an integer number (3547378432).

Almost surely, 2125681668245 is an apocalyptic number.

125681668245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125681668245 is an abundant number, since it is smaller than the sum of its proper divisors (129729578859).

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

125681668245 is a wasteful number, since it uses less digits than its factorization.

125681668245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448959 (or 448949 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 125681668245 in words is "one hundred twenty-five billion, six hundred eighty-one million, six hundred sixty-eight thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 127 147 245 315 381 441 635 735 889 1143 1905 2205 2667 4445 5715 6223 8001 13335 18669 31115 40005 56007 93345 280035 448807 1346421 2244035 3141649 4039263 6732105 9424947 15708245 20196315 21991543 28274841 47124735 56998489 65974629 109957715 141374205 170995467 197923887 284992445 329873145 398989423 512986401 854977335 989619435 1196968269 1994947115 2564932005 2792925961 3590904807 5984841345 8378777883 13964629805 17954524035 25136333649 41893889415 125681668245