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5106915176688 = 2433133129333903
BaseRepresentation
bin100101001010000101111…
…0111010111000011110000
3200002012211200212211202000
41022110023313113003300
51132132430241123223
614510030123454000
71034651055524463
oct112241367270360
920065750784660
105106915176688
111699915531216
126a5907687300
132b077044b020
14139266da32da
158cc98abc543
hex4a50bdd70f0

5106915176688 has 160 divisors (see below), whose sum is σ = 16295570350080. Its totient is φ = 1520669479680.

The previous prime is 5106915176663. The next prime is 5106915176707. The reversal of 5106915176688 is 8866715196015.

5106915176688 is a `hidden beast` number, since 5 + 106 + 9 + 1 + 517 + 6 + 6 + 8 + 8 = 666.

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, 14492856 + ... + 14841047.

It is an arithmetic number, because the mean of its divisors is an integer number (101847314688).

Almost surely, 25106915176688 is an apocalyptic number.

It is an amenable number.

5106915176688 is an abundant number, since it is smaller than the sum of its proper divisors (11188655173392).

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

5106915176688 is a wasteful number, since it uses less digits than its factorization.

5106915176688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29333964 (or 29333952 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 5106915176688 in words is "five trillion, one hundred six billion, nine hundred fifteen million, one hundred seventy-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 4464 4836 5616 6448 6696 7254 9672 10881 13392 14508 19344 21762 29016 43524 58032 87048 174096 29333903 58667806 88001709 117335612 176003418 234671224 264005127 352006836 381340739 469342448 528010254 704013672 762681478 792015381 909350993 1056020508 1144022217 1408027344 1525362956 1584030762 1818701986 2112041016 2288044434 2728052979 3050725912 3168061524 3432066651 3637403972 4224082032 4576088868 5456105958 6101451824 6336123048 6864133302 7274807944 8184158937 9152177736 10296199953 10912211916 11821562909 12672246096 13728266604 14549615888 16368317874 18304355472 20592399906 21824423832 23643125818 24552476811 27456533208 32736635748 35464688727 41184799812 43648847664 47286251636 49104953622 54913066416 65473271496 70929377454 82369599624 94572503272 98209907244 106394066181 130946542992 141858754908 164739199248 189145006544 196419814488 212788132362 283717509816 319182198543 392839628976 425576264724 567435019632 638364397086 851152529448 1276728794172 1702305058896 2553457588344 5106915176688