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30466388820 = 22357257282253
BaseRepresentation
bin11100010111111100…
…000011001101010100
32220122020212220120010
4130113330003031110
5444343343420240
621555052240220
72125662014010
oct342774031524
986566786503
1030466388820
1111a1453393a
125aa3170070
132b46bac60a
141690371540
15bd4a53280
hex717f03354

30466388820 has 96 divisors (see below), whose sum is σ = 97872139008. Its totient is φ = 6936625152.

The previous prime is 30466388803. The next prime is 30466388839. The reversal of 30466388820 is 2888366403.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30466388820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33187 + ... + 249066.

It is an arithmetic number, because the mean of its divisors is an integer number (1019501448).

Almost surely, 230466388820 is an apocalyptic number.

30466388820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30466388820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48936069504).

30466388820 is an abundant number, since it is smaller than the sum of its proper divisors (67405750188).

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

30466388820 is a wasteful number, since it uses less digits than its factorization.

30466388820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282529 (or 282527 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 30466388820 in words is "thirty billion, four hundred sixty-six million, three hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 257 420 514 771 1028 1285 1542 1799 2570 3084 3598 3855 5140 5397 7196 7710 8995 10794 15420 17990 21588 26985 35980 53970 107940 282253 564506 846759 1129012 1411265 1693518 1975771 2822530 3387036 3951542 4233795 5645060 5927313 7903084 8467590 9878855 11854626 16935180 19757710 23709252 29636565 39515420 59273130 72539021 118546260 145078042 217617063 290156084 362695105 435234126 507773147 725390210 870468252 1015546294 1088085315 1450780420 1523319441 2031092588 2176170630 2538865735 3046638882 4352341260 5077731470 6093277764 7616597205 10155462940 15233194410 30466388820