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33481243952 = 24135311172719
BaseRepresentation
bin11111001011101000…
…110011110100110000
310012102100212102022022
4133023220303310300
51022032144301302
623214151131012
72263460610062
oct371350636460
9105370772268
1033481243952
1113221320152
1265a4973a68
133207695570
141898923732
15d0e57d8a2
hex7cba33d30

33481243952 has 80 divisors (see below), whose sum is σ = 71267938560. Its totient is φ = 15142173696.

The previous prime is 33481243951. The next prime is 33481243981. The reversal of 33481243952 is 25934218433.

It is a super-2 number, since 2×334812439522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33481243951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12312449 + ... + 12315167.

It is an arithmetic number, because the mean of its divisors is an integer number (890849232).

Almost surely, 233481243952 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 33481243952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35633969280).

33481243952 is an abundant number, since it is smaller than the sum of its proper divisors (37786694608).

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

33481243952 is a wasteful number, since it uses less digits than its factorization.

33481243952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3904 counting only the distinct ones).

The product of its digits is 622080, while the sum is 44.

The spelling of 33481243952 in words is "thirty-three billion, four hundred eighty-one million, two hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1117 1378 2234 2719 2756 4468 5438 5512 8936 10876 11024 14521 17872 21752 29042 35347 43504 58084 59201 70694 116168 118402 141388 144107 232336 236804 282776 288214 473608 565552 576428 769613 947216 1152856 1539226 1873391 2305712 3037123 3078452 3746782 6074246 6156904 7493564 12148492 12313808 14987128 24296984 29974256 39482599 48593968 78965198 157930396 160967519 315860792 321935038 631721584 643870076 1287740152 2092577747 2575480304 4185155494 8370310988 16740621976 33481243952