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968227954860 = 2235172139401711
BaseRepresentation
bin11100001011011101110…
…00100010000010101100
310102120011110201022011110
432011232320202002230
5111330412324023420
62020444153152020
7126644406552555
oct16055670420254
93376143638143
10968227954860
11343694491151
121377956bb610
13703c3a5082a
1434c1092132c
151a2bc2a6ee0
hexe16ee220ac

968227954860 has 144 divisors (see below), whose sum is σ = 2900617735680. Its totient is φ = 241257384960.

The previous prime is 968227954831. The next prime is 968227954867. The reversal of 968227954860 is 68459722869.

It is a junction number, because it is equal to n+sod(n) for n = 968227954791 and 968227954800.

It is not an unprimeable number, because it can be changed into a prime (968227954867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2209405 + ... + 2611115.

It is an arithmetic number, because the mean of its divisors is an integer number (20143178720).

Almost surely, 2968227954860 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 968227954860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450308867840).

968227954860 is an abundant number, since it is smaller than the sum of its proper divisors (1932389780820).

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

968227954860 is a wasteful number, since it uses less digits than its factorization.

968227954860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401896 (or 401877 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 968227954860 in words is "nine hundred sixty-eight billion, two hundred twenty-seven million, nine hundred fifty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 139 170 204 255 278 289 340 417 510 556 578 695 834 867 1020 1156 1390 1445 1668 1734 2085 2363 2780 2890 3468 4170 4335 4726 5780 7089 8340 8670 9452 11815 14178 17340 23630 28356 35445 40171 47260 70890 80342 120513 141780 160684 200855 241026 401710 401711 482052 602565 803420 803422 1205130 1205133 1606844 2008555 2410260 2410266 4017110 4820532 6025665 6829087 8034220 12051330 13658174 20487261 24102660 27316348 34145435 40974522 55837829 68290870 81949044 102436305 111675658 116094479 136581740 167513487 204872610 223351316 232188958 279189145 335026974 348283437 409745220 464377916 558378290 580472395 670053948 696566874 837567435 949243093 1116756580 1160944790 1393133748 1675134870 1741417185 1898486186 2321889580 2847729279 3350269740 3482834370 3796972372 4746215465 5695458558 6965668740 9492430930 11390917116 14238646395 16137132581 18984861860 28477292790 32274265162 48411397743 56954585580 64548530324 80685662905 96822795486 161371325810 193645590972 242056988715 322742651620 484113977430 968227954860