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30680378952 = 2336143947737
BaseRepresentation
bin11100100100101100…
…010110111001001000
32221012011112201211120
4130210230112321020
51000313134111302
622032214555240
72134200626646
oct344454267110
987164481746
1030680378952
1112014301893
125b42968b20
132b7c3246b2
1416b0956196
15be87229bc
hex724b16e48

30680378952 has 64 divisors (see below), whose sum is σ = 78137558400. Its totient is φ = 10036016640.

The previous prime is 30680378917. The next prime is 30680378959. The reversal of 30680378952 is 25987308603.

It is a junction number, because it is equal to n+sod(n) for n = 30680378895 and 30680378904.

It is not an unprimeable number, because it can be changed into a prime (30680378959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618828 + ... + 666564.

It is an arithmetic number, because the mean of its divisors is an integer number (1220899350).

Almost surely, 230680378952 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 30680378952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39068779200).

30680378952 is an abundant number, since it is smaller than the sum of its proper divisors (47457179448).

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

30680378952 is a wasteful number, since it uses less digits than its factorization.

30680378952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48246 (or 48242 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 30680378952 in words is "thirty billion, six hundred eighty million, three hundred seventy-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 439 488 732 878 1317 1464 1756 2634 3512 5268 10536 26779 47737 53558 80337 95474 107116 143211 160674 190948 214232 286422 321348 381896 572844 642696 1145688 2911957 5823914 8735871 11647828 17471742 20956543 23295656 34943484 41913086 62869629 69886968 83826172 125739258 167652344 251478516 502957032 1278349123 2556698246 3835047369 5113396492 7670094738 10226792984 15340189476 30680378952