Search a number
-
+
125339393781 = 32719317346271
BaseRepresentation
bin111010010111011001…
…1110101111011110101
3102222112010011220210200
41310232303311323311
54023143341100111
6133325150111113
712025012161060
oct1645663657365
9388463156720
10125339393781
1149179902758
122035baab499
13ba86457684
1460d05138d7
1533d8aed256
hex1d2ecf5ef5

125339393781 has 96 divisors (see below), whose sum is σ = 227909959680. Its totient is φ = 64763193600.

The previous prime is 125339393749. The next prime is 125339393813. The reversal of 125339393781 is 187393933521.

125339393781 is a `hidden beast` number, since 1 + 2 + 533 + 9 + 39 + 3 + 78 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (125339393749) and next prime (125339393813).

It is not a de Polignac number, because 125339393781 - 25 = 125339393749 is a prime.

It is a super-2 number, since 2×1253393937812 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125339393701) 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, 2685676 + ... + 2731946.

It is an arithmetic number, because the mean of its divisors is an integer number (2374062080).

Almost surely, 2125339393781 is an apocalyptic number.

It is an amenable number.

125339393781 is a deficient number, since it is larger than the sum of its proper divisors (102570565899).

125339393781 is a wasteful number, since it uses less digits than its factorization.

125339393781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46407 (or 46404 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 125339393781 in words is "one hundred twenty-five billion, three hundred thirty-nine million, three hundred ninety-three thousand, seven hundred eighty-one".

Divisors: 1 3 7 9 19 21 31 57 63 73 93 133 171 217 219 279 399 511 589 651 657 1197 1387 1533 1767 1953 2263 4123 4161 4599 5301 6789 9709 12369 12483 15841 20367 29127 37107 42997 46271 47523 87381 128991 138813 142569 300979 323897 386973 416439 879149 902937 971691 1434401 2637447 2708811 2915073 3377783 4303203 6154043 7912341 10040807 10133349 12909609 18462129 23644481 27253619 30122421 30400047 55386387 64177877 70933443 81760857 90367263 104711273 190775333 192533631 212800329 245282571 314133819 449245139 572325999 577600893 732978911 942401457 1347735417 1716977997 1989514187 2198936733 4043206251 5968542561 6596810199 13926599309 17905627683 41779797927 125339393781