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198113114963736 = 233271939392026831
BaseRepresentation
bin101101000010111011001101…
…110101111011111100011000
3221222110102120121112201220200
4231002323031311323330120
5201431341124412314421
61541203524130422200
756505125450200020
oct5502731565737430
9858412517481820
10198113114963736
1158141333664a75
121a277795431960
138670ca968b71b
1436cca23d28a80
1517d859b8ab726
hexb42ecdd7bf18

198113114963736 has 96 divisors (see below), whose sum is σ = 613210725004800. Its totient is φ = 56603427341760.

The previous prime is 198113114963689. The next prime is 198113114963789. The reversal of 198113114963736 is 637369411311891.

198113114963736 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 131 + 1 + 496 + 3 + 7 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96731841 + ... + 98758671.

It is an arithmetic number, because the mean of its divisors is an integer number (6387611718800).

Almost surely, 2198113114963736 is an apocalyptic number.

It is an amenable number.

198113114963736 is an abundant number, since it is smaller than the sum of its proper divisors (415097610041064).

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

198113114963736 is a wasteful number, since it uses less digits than its factorization.

198113114963736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220789 (or 2220782 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 198113114963736 in words is "one hundred ninety-eight trillion, one hundred thirteen billion, one hundred fourteen million, nine hundred sixty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 193939 387878 581817 775756 1163634 1357573 1551512 1745451 2026831 2327268 2715146 3490902 4053662 4072719 4654536 5430292 6080493 6981804 8107324 8145438 10860584 12160986 12218157 13963608 14187817 16214648 16290876 18241479 24321972 24436314 28375634 32581752 36482958 42563451 48643944 48872628 56751268 72965916 85126902 97745256 113502536 127690353 145931832 170253804 255380706 340507608 510761412 1021522824 393081577309 786163154618 1179244731927 1572326309236 2358489463854 2751571041163 3144652618472 3537734195781 4716978927708 5503142082326 7075468391562 8254713123489 9433957855416 11006284164652 14150936783124 16509426246978 22012568329304 24764139370467 28301873566248 33018852493956 49528278740934 66037704987912 99056557481868 198113114963736