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97986118860 = 223257641121321
BaseRepresentation
bin101101101000001101…
…1011000010011001100
3100100220211011120200100
41123100123120103030
53101133421300420
6113003022331100
710036121160630
oct1332033302314
9310824146610
1097986118860
1138612678423
1216ba7429a90
1393175150b6
144a577d0dc0
152837534190
hex16d06d84cc

97986118860 has 144 divisors (see below), whose sum is σ = 340217946432. Its totient is φ = 22361702400.

The previous prime is 97986118859. The next prime is 97986118883. The reversal of 97986118860 is 6881168979.

97986118860 is a `hidden beast` number, since 9 + 7 + 9 + 8 + 611 + 8 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 747000 + ... + 868320.

It is an arithmetic number, because the mean of its divisors is an integer number (2362624628).

Almost surely, 297986118860 is an apocalyptic number.

97986118860 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97986118860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170108973216).

97986118860 is an abundant number, since it is smaller than the sum of its proper divisors (242231827572).

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

97986118860 is a wasteful number, since it uses less digits than its factorization.

97986118860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121984 (or 121979 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 97986118860 in words is "ninety-seven billion, nine hundred eighty-six million, one hundred eighteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 641 1260 1282 1923 2564 3205 3846 4487 5769 6410 7692 8974 9615 11538 12820 13461 17948 19230 22435 23076 26922 28845 38460 40383 44870 53844 57690 67305 80766 89740 115380 121321 134610 161532 201915 242642 269220 363963 403830 485284 606605 727926 807660 849247 1091889 1213210 1455852 1698494 1819815 2183778 2426420 2547741 3396988 3639630 4246235 4367556 5095482 5459445 7279260 7643223 8492470 10190964 10918890 12738705 15286446 16984940 21837780 25477410 30572892 38216115 50954820 76432230 77766761 152864460 155533522 233300283 311067044 388833805 466600566 544367327 699900849 777667610 933201132 1088734654 1166501415 1399801698 1555335220 1633101981 2177469308 2333002830 2721836635 2799603396 3266203962 3499504245 4666005660 4899305943 5443673270 6532407924 6999008490 8165509905 9798611886 10887346540 13998016980 16331019810 19597223772 24496529715 32662039620 48993059430 97986118860