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966617239868 = 2271923451717489
BaseRepresentation
bin11100001000011101110…
…00001001000100111100
310102102000012212111120122
432010032320021010330
5111314113003133433
62020020254034112
7126556450654520
oct16041670110474
93372005774518
10966617239868
11342a38261135
121374061a8938
13701c8135937
1434adaa3bd80
151a225b8d198
hexe10ee0913c

966617239868 has 96 divisors (see below), whose sum is σ = 2124052761600. Its totient is φ = 375293039616.

The previous prime is 966617239853. The next prime is 966617239873. The reversal of 966617239868 is 868932716669.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55261268 + ... + 55278756.

It is an arithmetic number, because the mean of its divisors is an integer number (22125549600).

Almost surely, 2966617239868 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 966617239868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062026380800).

966617239868 is an abundant number, since it is smaller than the sum of its proper divisors (1157435521732).

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

966617239868 is a wasteful number, since it uses less digits than its factorization.

966617239868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22059 (or 22057 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 71.

The spelling of 966617239868 in words is "nine hundred sixty-six billion, six hundred seventeen million, two hundred thirty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1748 3059 4517 6118 9034 12236 17489 18068 31619 34978 63238 69956 85823 103891 122423 126476 171646 207782 244846 332291 343292 402247 415564 489692 600761 664582 727237 804494 1201522 1329164 1454474 1608988 1973929 2326037 2403044 2815729 2908948 3947858 4652074 5631458 7642693 7895716 9304148 11262916 13817503 15285386 27635006 30570772 53498851 55270012 78997813 106997702 157995626 213995404 315991252 552984691 1105969382 1500958447 1816949699 2211938764 3001916894 3633899398 6003833788 7267798796 10506709129 12718647893 21013418258 25437295786 34522044281 42026836516 50874591572 69044088562 138088177124 241654309967 483308619934 966617239868