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30697843752 = 23339710713693
BaseRepresentation
bin11100100101101110…
…111110110000101000
32221020101102001001000
4130211232332300220
51000332122000002
622034041155000
72134502236512
oct344556766050
987211361030
1030697843752
1112023150404
125b4878ba60
132b82b2abb4
1416b2dc0bb2
15bea02261c
hex725bbec28

30697843752 has 128 divisors (see below), whose sum is σ = 86962377600. Its totient is φ = 10031745024.

The previous prime is 30697843741. The next prime is 30697843793. The reversal of 30697843752 is 25734879603.

30697843752 is a `hidden beast` number, since 30 + 69 + 78 + 437 + 52 = 666.

It is a super-2 number, since 2×306978437522 (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2235018 + ... + 2248710.

It is an arithmetic number, because the mean of its divisors is an integer number (679393575).

Almost surely, 230697843752 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 30697843752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43481188800).

30697843752 is an abundant number, since it is smaller than the sum of its proper divisors (56264533848).

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

30697843752 is a wasteful number, since it uses less digits than its factorization.

30697843752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13912 (or 13902 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 30697843752 in words is "thirty billion, six hundred ninety-seven million, eight hundred forty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 107 108 194 214 216 291 321 388 428 582 642 776 856 873 963 1164 1284 1746 1926 2328 2568 2619 2889 3492 3852 5238 5778 6984 7704 10379 10476 11556 13693 20758 20952 23112 27386 31137 41079 41516 54772 62274 82158 83032 93411 109544 123237 124548 164316 186822 246474 249096 280233 328632 369711 373644 492948 560466 739422 747288 985896 1120932 1328221 1465151 1478844 2241864 2656442 2930302 2957688 3984663 4395453 5312884 5860604 7969326 8790906 10625768 11721208 11953989 13186359 15938652 17581812 23907978 26372718 31877304 35163624 35861967 39559077 47815956 52745436 71723934 79118154 95631912 105490872 142119647 143447868 158236308 284239294 286895736 316472616 426358941 568478588 852717882 1136957176 1279076823 1705435764 2558153646 3410871528 3837230469 5116307292 7674460938 10232614584 15348921876 30697843752