Search a number
-
+
30934861128 = 23324110479289
BaseRepresentation
bin11100110011110111…
…001000010101001000
32221211220101202202100
4130303313020111020
51001323311024003
622113345233400
72143410660333
oct346367102510
987756352670
1030934861128
1112134a17036
125bb4032860
132bbcc76272
1416d667b61a
15c10c3eba3
hex733dc8548

30934861128 has 48 divisors (see below), whose sum is σ = 85825385100. Its totient is φ = 10060116480.

The previous prime is 30934861127. The next prime is 30934861147. The reversal of 30934861128 is 82116843903.

30934861128 is a `hidden beast` number, since 3 + 0 + 9 + 3 + 4 + 8 + 611 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30933070884 + 1790244 = 175878^2 + 1338^2 .

It is not an unprimeable number, because it can be changed into a prime (30934861127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5236693 + ... + 5242596.

Almost surely, 230934861128 is an apocalyptic number.

It is an amenable number.

30934861128 is an abundant number, since it is smaller than the sum of its proper divisors (54890523972).

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

30934861128 is a wasteful number, since it uses less digits than its factorization.

30934861128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10479342 (or 10479335 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 30934861128 in words is "thirty billion, nine hundred thirty-four million, eight hundred sixty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 10479289 20958578 31437867 41917156 62875734 83834312 94313601 125751468 188627202 251502936 377254404 429650849 754508808 859301698 1288952547 1718603396 2577905094 3437206792 3866857641 5155810188 7733715282 10311620376 15467430564 30934861128