Search a number
-
+
30769446825 = 32521367157007
BaseRepresentation
bin11100101010000000…
…000111111110101001
32221102101010211222200
4130222000013332221
51001003434244300
622045120010413
72136331661025
oct345200077651
987371124880
1030769446825
111205a6068a7
125b68760a09
132b9490b290
1416bc6dd385
15c01468200
hex72a007fa9

30769446825 has 72 divisors (see below), whose sum is σ = 60237061248. Its totient is φ = 14921850240.

The previous prime is 30769446787. The next prime is 30769446881. The reversal of 30769446825 is 52864496703.

30769446825 is a `hidden beast` number, since 3 + 0 + 76 + 94 + 468 + 25 = 666.

It is not a de Polignac number, because 30769446825 - 222 = 30765252521 is a prime.

It is a super-3 number, since 3×307694468253 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117472 + ... + 274478.

Almost surely, 230769446825 is an apocalyptic number.

It is an amenable number.

30769446825 is a deficient number, since it is larger than the sum of its proper divisors (29467614423).

30769446825 is a wasteful number, since it uses less digits than its factorization.

30769446825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157103 (or 157095 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 30769446825 in words is "thirty billion, seven hundred sixty-nine million, four hundred forty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 67 75 117 195 201 225 325 335 585 603 871 975 1005 1675 2613 2925 3015 4355 5025 7839 13065 15075 21775 39195 65325 157007 195975 471021 785035 1413063 2041091 2355105 3925175 6123273 7065315 10205455 10519469 11775525 18369819 30616365 31558407 35326575 51027275 52597345 91849095 94675221 136753097 153081825 157792035 262986725 410259291 459245475 473376105 683765485 788960175 1230777873 2051296455 2366880525 3418827425 6153889365 10256482275 30769446825