Search a number
-
+
30747199488 = 211342111887
BaseRepresentation
bin11100101000101011…
…010000100000000000
32221100211021120101020
4130220223100200000
51000432240340423
622043003105440
72135641612005
oct345053204000
987324246336
1030747199488
1112048aa1075
125b61212280
132b9011bc85
1416b978b8ac
15bee5214e3
hex728ad0800

30747199488 has 96 divisors (see below), whose sum is σ = 82174135680. Its totient is φ = 10223861760.

The previous prime is 30747199477. The next prime is 30747199501. The reversal of 30747199488 is 88499174703.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2580681 + ... + 2592567.

It is an arithmetic number, because the mean of its divisors is an integer number (855980580).

Almost surely, 230747199488 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 30747199488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41087067840).

30747199488 is an abundant number, since it is smaller than the sum of its proper divisors (51426936192).

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

30747199488 is a wasteful number, since it uses less digits than its factorization.

30747199488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 30747199488 in words is "thirty billion, seven hundred forty-seven million, one hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 421 512 768 842 1024 1263 1536 1684 2048 2526 3072 3368 5052 6144 6736 10104 11887 13472 20208 23774 26944 35661 40416 47548 53888 71322 80832 95096 107776 142644 161664 190192 215552 285288 323328 380384 431104 570576 646656 760768 862208 1141152 1293312 1521536 2282304 2586624 3043072 4564608 5004427 6086144 9129216 10008854 12172288 15013281 18258432 20017708 24344576 30026562 36516864 40035416 60053124 73033728 80070832 120106248 160141664 240212496 320283328 480424992 640566656 960849984 1281133312 1921699968 2562266624 3843399936 5124533248 7686799872 10249066496 15373599744 30747199488