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30945770548 = 227111718132653
BaseRepresentation
bin11100110100100000…
…101111110000110100
32221212122221000122221
4130310200233300310
51001334104124143
622114415132124
72143602465250
oct346440576064
987778830587
1030945770548
1112140098490
125bb7814044
132bc22c5a44
1416d7cbb260
15c11b972ed
hex73482fc34

30945770548 has 96 divisors (see below), whose sum is σ = 71886866688. Its totient is φ = 11284531200.

The previous prime is 30945770507. The next prime is 30945770551. The reversal of 30945770548 is 84507754903.

It is a junction number, because it is equal to n+sod(n) for n = 30945770495 and 30945770504.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 931390 + ... + 964042.

It is an arithmetic number, because the mean of its divisors is an integer number (748821528).

Almost surely, 230945770548 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 30945770548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35943433344).

30945770548 is an abundant number, since it is smaller than the sum of its proper divisors (40941096140).

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

30945770548 is a wasteful number, since it uses less digits than its factorization.

30945770548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32873 (or 32871 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 30945770548 in words is "thirty billion, nine hundred forty-five million, seven hundred seventy thousand, five hundred forty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 181 187 238 308 362 374 476 724 748 1267 1309 1991 2534 2618 3077 3982 5068 5236 6154 7964 12308 13937 21539 27874 32653 33847 43078 55748 65306 67694 86156 130612 135388 228571 236929 359183 457142 473858 555101 718366 914284 947716 1110202 1436732 2220404 2514281 3885707 5028562 5910193 6106111 7771414 10057124 11820386 12212222 15542828 23640772 24424444 41371351 42742777 65012123 82742702 85485554 100473281 130024246 165485404 170971108 200946562 260048492 401893124 455084861 703312967 910169722 1105206091 1406625934 1820339444 2210412182 2813251868 4420824364 7736442637 15472885274 30945770548