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30906335488 = 287145911821
BaseRepresentation
bin11100110010001010…
…010100000100000000
32221202220201111221011
4130302022110010000
51001244010213423
622110450010304
72142613342240
oct346212240400
987686644834
1030906335488
111211a903326
125ba6576994
132bb70993a2
1416d2973b20
15c0d4a7b0d
hex732294100

30906335488 has 72 divisors (see below), whose sum is σ = 70559370560. Its totient is φ = 13235374080.

The previous prime is 30906335483. The next prime is 30906335497. The reversal of 30906335488 is 88453360903.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30906335483) by changing a digit.

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, 2608618 + ... + 2620438.

Almost surely, 230906335488 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 30906335488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35279685280).

30906335488 is an abundant number, since it is smaller than the sum of its proper divisors (39653035072).

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

30906335488 is a wasteful number, since it uses less digits than its factorization.

30906335488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13303 (or 13289 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 30906335488 in words is "thirty billion, nine hundred six million, three hundred thirty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1459 1792 2918 5836 10213 11672 11821 20426 23344 23642 40852 46688 47284 81704 82747 93376 94568 163408 165494 186752 189136 326816 330988 373504 378272 653632 661976 756544 1307264 1323952 1513088 2614528 2647904 3026176 5295808 10591616 17246839 21183232 34493678 68987356 120727873 137974712 241455746 275949424 482911492 551898848 965822984 1103797696 1931645968 2207595392 3863291936 4415190784 7726583872 15453167744 30906335488