Search a number
-
+
30809048976 = 2433257277499
BaseRepresentation
bin11100101100010111…
…001100011110010000
32221112010122211221000
4130230113030132100
51001044104031401
622053052502000
72140322411136
oct345427143620
987463584830
1030809048976
111207a9a5552
125b79a7a900
132b9cb959c4
1416c3a8b756
15c04b8c186
hex72c5cc790

30809048976 has 80 divisors (see below), whose sum is σ = 88777800000. Its totient is φ = 10229686272.

The previous prime is 30809048951. The next prime is 30809049031. The reversal of 30809048976 is 67984090803.

30809048976 is a `hidden beast` number, since 3 + 0 + 8 + 0 + 90 + 489 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 27726 + ... + 249773.

It is an arithmetic number, because the mean of its divisors is an integer number (1109722500).

Almost surely, 230809048976 is an apocalyptic number.

30809048976 is a gapful number since it is divisible by the number (36) 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 30809048976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44388900000).

30809048976 is an abundant number, since it is smaller than the sum of its proper divisors (57968751024).

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

30809048976 is a wasteful number, since it uses less digits than its factorization.

30809048976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277773 (or 277761 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 30809048976 in words is "thirty billion, eight hundred nine million, forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 257 432 514 771 1028 1542 2056 2313 3084 4112 4626 6168 6939 9252 12336 13878 18504 27756 37008 55512 111024 277499 554998 832497 1109996 1664994 2219992 2497491 3329988 4439984 4994982 6659976 7492473 9989964 13319952 14984946 19979928 29969892 39959856 59939784 71317243 119879568 142634486 213951729 285268972 427903458 570537944 641855187 855806916 1141075888 1283710374 1711613832 1925565561 2567420748 3423227664 3851131122 5134841496 7702262244 10269682992 15404524488 30809048976