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30819483252 = 223253103156823
BaseRepresentation
bin11100101100111110…
…111111111001110100
32221112212021222001200
4130230332333321310
51001104241431002
622054104252500
72140510166565
oct345476777164
987485258050
1030819483252
1112085881a18
125b81471130
132ba20aa12c
1416c520616c
15c05a4db1c
hex72cfbfe74

30819483252 has 72 divisors (see below), whose sum is σ = 80145846144. Its totient is φ = 9981406656.

The previous prime is 30819483223. The next prime is 30819483263. The reversal of 30819483252 is 25238491803.

30819483252 is a `hidden beast` number, since 308 + 1 + 94 + 8 + 3 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30819483198 and 30819483207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118113 + ... + 274935.

It is an arithmetic number, because the mean of its divisors is an integer number (1113136752).

Almost surely, 230819483252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30819483252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40072923072).

30819483252 is an abundant number, since it is smaller than the sum of its proper divisors (49326362892).

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

30819483252 is a wasteful number, since it uses less digits than its factorization.

30819483252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156989 (or 156984 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 30819483252 in words is "thirty billion, eight hundred nineteen million, four hundred eighty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 103 106 159 206 212 309 318 412 477 618 636 927 954 1236 1854 1908 3708 5459 10918 16377 21836 32754 49131 65508 98262 156823 196524 313646 470469 627292 940938 1411407 1881876 2822814 5645628 8311619 16152769 16623238 24934857 32305538 33246476 48458307 49869714 64611076 74804571 96916614 99739428 145374921 149609142 193833228 290749842 299218284 581499684 856096757 1712193514 2568290271 3424387028 5136580542 7704870813 10273161084 15409741626 30819483252