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30808582380 = 223254334711471
BaseRepresentation
bin11100101100010101…
…011010100011101100
32221112002210010212200
4130230111122203230
51001043444114010
622053034501500
72140315425612
oct345425324354
987462703780
1030808582380
111207a706a34
125b79894890
132b9ca61504
1416c39a96b2
15c04ae8cc0
hex72c55a8ec

30808582380 has 144 divisors (see below), whose sum is σ = 95909958144. Its totient is φ = 8000737920.

The previous prime is 30808582373. The next prime is 30808582381. The reversal of 30808582380 is 8328580803.

30808582380 is a `hidden beast` number, since 30 + 8 + 0 + 8 + 582 + 38 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30808582381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2680045 + ... + 2691515.

It is an arithmetic number, because the mean of its divisors is an integer number (666041376).

Almost surely, 230808582380 is an apocalyptic number.

30808582380 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 30808582380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47954979072).

30808582380 is an abundant number, since it is smaller than the sum of its proper divisors (65101375764).

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

30808582380 is a wasteful number, since it uses less digits than its factorization.

30808582380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11876 (or 11871 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 30808582380 in words is "thirty billion, eight hundred eight million, five hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 347 387 430 516 645 694 774 860 1041 1290 1388 1548 1735 1935 2082 2580 3123 3470 3870 4164 5205 6246 6940 7740 10410 11471 12492 14921 15615 20820 22942 29842 31230 34413 44763 45884 57355 59684 62460 68826 74605 89526 103239 114710 134289 137652 149210 172065 179052 206478 223815 229420 268578 298420 344130 412956 447630 493253 516195 537156 671445 688260 895260 986506 1032390 1342890 1479759 1973012 2064780 2466265 2685780 2959518 3980437 4439277 4932530 5919036 7398795 7960874 8878554 9865060 11941311 14797590 15921748 17757108 19902185 22196385 23882622 29595180 35823933 39804370 44392770 47765244 59706555 71647866 79608740 88785540 119413110 143295732 171158791 179119665 238826220 342317582 358239330 513476373 684635164 716478660 855793955 1026952746 1540429119 1711587910 2053905492 2567381865 3080858238 3423175820 5134763730 6161716476 7702145595 10269527460 15404291190 30808582380