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663133507883256 = 233377141392541173
BaseRepresentation
bin1001011011000111011100110…
…1001011010001000011111000
310012221221221111100012010221110
42112301313031023101003320
51143404234411004231011
610310211154455440320
7256451546341032144
oct22661671513210370
93187857440163843
10663133507883256
11182327383388523
126245b8720860a0
13226032b57593a7
14b9a7b93bb8224
15519e957290ba6
hex25b1dcd2d10f8

663133507883256 has 128 divisors (see below), whose sum is σ = 1727038772697600. Its totient is φ = 211989853877760.

The previous prime is 663133507883177. The next prime is 663133507883279. The reversal of 663133507883256 is 652388705331366.

It is a happy number.

663133507883256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259685086 + ... + 262226258.

It is an arithmetic number, because the mean of its divisors is an integer number (13492490411700).

Almost surely, 2663133507883256 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 663133507883256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863519386348800).

663133507883256 is an abundant number, since it is smaller than the sum of its proper divisors (1063905264814344).

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

663133507883256 is a wasteful number, since it uses less digits than its factorization.

663133507883256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545429 (or 2545425 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 66.

The spelling of 663133507883256 in words is "six hundred sixty-three trillion, one hundred thirty-three billion, five hundred seven million, eight hundred eighty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 37 71 74 111 142 148 213 222 284 296 426 444 568 852 888 1704 2627 4139 5254 7881 8278 10508 12417 15762 16556 21016 24834 31524 33112 49668 63048 99336 153143 293869 306286 459429 587738 612572 881607 918858 1175476 1225144 1763214 1837716 2350952 2541173 3526428 3675432 5082346 7052856 7623519 10164692 10873153 15247038 20329384 21746306 30494076 32619459 43492612 60988152 65238918 86985224 94023401 130477836 180423283 188046802 260955672 282070203 360846566 376093604 541269849 564140406 721693132 752187208 1082539698 1128280812 1443386264 2165079396 2256561624 4330158792 6675661471 10517915047 13351322942 20026984413 21035830094 26702645884 31553745141 40053968826 42071660188 53405291768 63107490282 80107937652 84143320376 126214980564 160215875304 252429961128 389162856739 746771968337 778325713478 1167488570217 1493543936674 1556651426956 2240315905011 2334977140434 2987087873348 3113302853912 4480631810022 4669954280868 5974175746696 8961263620044 9339908561736 17922527240088 27630562828469 55261125656938 82891688485407 110522251313876 165783376970814 221044502627752 331566753941628 663133507883256