Search a number
-
+
125000967816540 = 22325694449821203
BaseRepresentation
bin11100011011000000001110…
…010010001000010101011100
3121101120222100101000100001200
4130123000032102020111130
5112341003440230112130
61121504352445035500
735221010340226014
oct3433001622102534
9541528311010050
10125000967816540
1136913681622652
121202a037255b90
135499704b7033a
1422c2117186c44
15e6b866cec760
hex71b00e48855c

125000967816540 has 36 divisors (see below), whose sum is σ = 379169602377384. Its totient is φ = 33333591417696.

The previous prime is 125000967816503. The next prime is 125000967816541. The reversal of 125000967816540 is 45618769000521.

It is a happy number.

125000967816540 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 0 + 0 + 96 + 7 + 8 + 1 + 6 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125000967816541) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 347224910422 + ... + 347224910781.

Almost surely, 2125000967816540 is an apocalyptic number.

125000967816540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125000967816540 is an abundant number, since it is smaller than the sum of its proper divisors (254168634560844).

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

125000967816540 is a wasteful number, since it uses less digits than its factorization.

125000967816540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694449821218 (or 694449821213 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 125000967816540 in words is "one hundred twenty-five trillion, nine hundred sixty-seven million, eight hundred sixteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 694449821203 1388899642406 2083349463609 2777799284812 3472249106015 4166698927218 6250048390827 6944498212030 8333397854436 10416747318045 12500096781654 13888996424060 20833494636090 25000193563308 31250241954135 41666989272180 62500483908270 125000967816540