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5496317106456 = 23311173173863311
BaseRepresentation
bin100111111111011011000…
…0001110101100100011000
3201110102221210022110111010
41033332312001311210120
51210022424134401311
615404550114333520
71105044601362531
oct117766601654430
921412853273433
105496317106456
111829a7a799590
1274928158a2a0
1330b3ba1ca797
141500477dd688
1597e89d6bda6
hex4ffb6075918

5496317106456 has 128 divisors (see below), whose sum is σ = 15921790479360. Its totient is φ = 1562631628800.

The previous prime is 5496317106383. The next prime is 5496317106499. The reversal of 5496317106456 is 6546017136945.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5496317106396 and 5496317106405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508960 + ... + 3354351.

It is an arithmetic number, because the mean of its divisors is an integer number (124388988120).

Almost surely, 25496317106456 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 5496317106456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960895239680).

5496317106456 is an abundant number, since it is smaller than the sum of its proper divisors (10425473372904).

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

5496317106456 is a wasteful number, since it uses less digits than its factorization.

5496317106456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863665 (or 3863661 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 5496317106456 in words is "five trillion, four hundred ninety-six billion, three hundred seventeen million, one hundred six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 317 374 408 561 634 748 951 1122 1268 1496 1902 2244 2536 3487 3804 4488 5389 6974 7608 10461 10778 13948 16167 20922 21556 27896 32334 41844 43112 59279 64668 83688 118558 129336 177837 237116 355674 474232 711348 1422696 3863311 7726622 11589933 15453244 23179866 30906488 42496421 46359732 65676287 84992842 92719464 127489263 131352574 169985684 197028861 254978526 262705148 339971368 394057722 509957052 525410296 722439157 788115444 1019914104 1224669587 1444878314 1576230888 2167317471 2449339174 2889756628 3674008761 4334634942 4898678348 5779513256 7348017522 8669269884 9797356696 13471365457 14696035044 17338539768 20819382979 26942730914 29392070088 40414096371 41638765958 53885461828 62458148937 80828192742 83277531916 107770923656 124916297874 161656385484 166555063832 229013212769 249832595748 323312770968 458026425538 499665191496 687039638307 916052851076 1374079276614 1832105702152 2748158553228 5496317106456