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30820825950 = 23521487138179
BaseRepresentation
bin11100101101000100…
…000111101101011110
32221112221211011220020
4130231010013231132
51001110112412300
622054153133010
72140524461265
oct345504075536
987487734806
1030820825950
1112086609792
125b819ba166
132ba245a325
1416c54755dc
15c05c168a0
hex72d107b5e

30820825950 has 48 divisors (see below), whose sum is σ = 76487604480. Its totient is φ = 8213300320.

The previous prime is 30820825949. The next prime is 30820825957. The reversal of 30820825950 is 5952802803.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30820825957) 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 23 ways as a sum of consecutive naturals, for example, 153961 + ... + 292139.

It is an arithmetic number, because the mean of its divisors is an integer number (1593491760).

Almost surely, 230820825950 is an apocalyptic number.

30820825950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30820825950 is an abundant number, since it is smaller than the sum of its proper divisors (45666778530).

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

30820825950 is a wasteful number, since it uses less digits than its factorization.

30820825950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139681 (or 139676 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 30820825950 in words is "thirty billion, eight hundred twenty million, eight hundred twenty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 1487 2974 4461 7435 8922 14870 22305 37175 44610 74350 111525 138179 223050 276358 414537 690895 829074 1381790 2072685 3454475 4145370 6908950 10363425 20726850 205472173 410944346 616416519 1027360865 1232833038 2054721730 3082082595 5136804325 6164165190 10273608650 15410412975 30820825950