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6481936125 = 325377111593
BaseRepresentation
bin1100000100101101…
…00111111011111101
3121201201220110202100
412002112213323331
5101233333424000
62551110215313
7316425355650
oct60226477375
917651813670
106481936125
11282697a605
12130a954539
137c3b97a82
14456c21897
1527e0d3a00
hex1825a7efd

6481936125 has 96 divisors (see below), whose sum is σ = 13543276032. Its totient is φ = 2921184000.

The previous prime is 6481936121. The next prime is 6481936141. The reversal of 6481936125 is 5216391846.

6481936125 is a `hidden beast` number, since 6 + 481 + 93 + 61 + 25 = 666.

6481936125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6481936125 - 22 = 6481936121 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6481936121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 553329 + ... + 564921.

It is an arithmetic number, because the mean of its divisors is an integer number (141075792).

Almost surely, 26481936125 is an apocalyptic number.

It is an amenable number.

6481936125 is an abundant number, since it is smaller than the sum of its proper divisors (7061339907).

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

6481936125 is a wasteful number, since it uses less digits than its factorization.

6481936125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11692 (or 11679 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 6481936125 is about 80510.4721449328. The cubic root of 6481936125 is about 1864.5251638030.

The spelling of 6481936125 in words is "six billion, four hundred eighty-one million, nine hundred thirty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 71 75 105 125 175 213 225 315 355 375 497 525 639 875 1065 1125 1491 1575 1775 2485 2625 3195 4473 5325 7455 7875 8875 11593 12425 15975 22365 26625 34779 37275 57965 62125 79875 81151 104337 111825 173895 186375 243453 289825 405755 521685 559125 730359 823103 869475 1217265 1449125 2028775 2469309 2608425 3651795 4115515 4347375 5761721 6086325 7407927 10143875 12346545 13042125 17285163 18258975 20577575 28808605 30431625 37039635 51855489 61732725 86425815 91294875 102887875 144043025 185198175 259277445 308663625 432129075 720215125 925990875 1296387225 2160645375 6481936125