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33481243968 = 263315999391
BaseRepresentation
bin11111001011101000…
…110011110101000000
310012102100212102022220
4133023220303311000
51022032144301333
623214151131040
72263460610114
oct371350636500
9105370772286
1033481243968
1113221320167
1265a4973a80
133207695583
141898923744
15d0e57d8b3
hex7cba33d40

33481243968 has 112 divisors (see below), whose sum is σ = 91605811200. Its totient is φ = 10781222400.

The previous prime is 33481243951. The next prime is 33481243981. The reversal of 33481243968 is 86934218433.

It is a super-2 number, since 2×334812439682 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33481243968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3560553 + ... + 3569943.

Almost surely, 233481243968 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 33481243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45802905600).

33481243968 is an abundant number, since it is smaller than the sum of its proper divisors (58124567232).

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

33481243968 is a wasteful number, since it uses less digits than its factorization.

33481243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10036 (or 10026 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The spelling of 33481243968 in words is "thirty-three billion, four hundred eighty-one million, two hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 599 744 992 1198 1488 1797 1984 2396 2976 3594 4792 5952 7188 9391 9584 14376 18569 18782 19168 28173 28752 37138 37564 38336 55707 56346 57504 74276 75128 111414 112692 115008 148552 150256 222828 225384 291121 297104 300512 445656 450768 582242 594208 601024 873363 891312 901536 1164484 1188416 1746726 1782624 1803072 2328968 3493452 3565248 4657936 5625209 6986904 9315872 11250418 13973808 16875627 18631744 22500836 27947616 33751254 45001672 55895232 67502508 90003344 135005016 174381479 180006688 270010032 348762958 360013376 523144437 540020064 697525916 1046288874 1080040128 1395051832 2092577748 2790103664 4185155496 5580207328 8370310992 11160414656 16740621984 33481243968