Search a number
-
+
125509793994 = 232139722692437
BaseRepresentation
bin111010011100011110…
…1110111100011001010
3102222221222211010221200
41310320331313203022
54024021001401434
6133354114245030
712032151434514
oct1647075674312
9388858733850
10125509793994
1149257008982
12203a8b86776
13bab2849bc0
146108dccbb4
1533e8a5c199
hex1d38f778ca

125509793994 has 96 divisors (see below), whose sum is σ = 296127184080. Its totient is φ = 38187749376.

The previous prime is 125509793977. The next prime is 125509794001. The reversal of 125509793994 is 499397905521.

125509793994 is a `hidden beast` number, since 1 + 2 + 5 + 509 + 7 + 9 + 39 + 94 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33935166225 + 91574627769 = 184215^2 + 302613^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51500544 + ... + 51502980.

Almost surely, 2125509793994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125509793994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148063592040).

125509793994 is an abundant number, since it is smaller than the sum of its proper divisors (170617390086).

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

125509793994 is a wasteful number, since it uses less digits than its factorization.

125509793994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 125509793994 in words is "one hundred twenty-five billion, five hundred nine million, seven hundred ninety-three thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1746 2269 2437 2522 3783 4538 4874 6807 7311 7566 11349 13614 14622 20421 21933 22698 29497 31681 40842 43866 58994 63362 88491 95043 176982 190086 220093 236389 265473 285129 440186 472778 530946 570258 660279 709167 1320558 1418334 1980837 2127501 2861209 3073057 3961674 4255002 5529553 5722418 6146114 8583627 9219171 11059106 16588659 17167254 18438342 25750881 27657513 33177318 49765977 51501762 55315026 71884189 99531954 143768378 215652567 431305134 536366641 646957701 1072733282 1293915402 1609099923 3218199846 4827299769 6972766333 9654599538 13945532666 20918298999 41836597998 62754896997 125509793994