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393986483982 = 2327131933124433
BaseRepresentation
bin1011011101110110110…
…11001010011100001110
31101122221121002002211100
411232323123022130032
522423341014441412
6500554521403530
740315231600230
oct5567333123416
91348847062740
10393986483982
111420a810a853
12644353395a6
132b1ca81c540
14150d7676250
15a3ad9e0edc
hex5bbb6ca70e

393986483982 has 96 divisors (see below), whose sum is σ = 1051182595008. Its totient is φ = 103853933568.

The previous prime is 393986483971. The next prime is 393986484019. The reversal of 393986483982 is 289384689393.

393986483982 is a `hidden beast` number, since 3 + 93 + 98 + 64 + 8 + 398 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 393986483982.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3104038 + ... + 3228470.

It is an arithmetic number, because the mean of its divisors is an integer number (10949818698).

Almost surely, 2393986483982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393986483982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525591297504).

393986483982 is an abundant number, since it is smaller than the sum of its proper divisors (657196111026).

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

393986483982 is a wasteful number, since it uses less digits than its factorization.

393986483982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126394 (or 126391 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 393986483982 in words is "three hundred ninety-three billion, nine hundred eighty-six million, four hundred eighty-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 1933 3866 5799 11598 13531 17397 25129 27062 34794 40593 50258 75387 81186 121779 124433 150774 175903 226161 243558 248866 351806 373299 452322 527709 746598 871031 1055418 1119897 1583127 1617629 1742062 2239794 2613093 3166254 3235258 4852887 5226186 7839279 9705774 11323403 14558661 15678558 22646806 29117322 33970209 67940418 101910627 203821254 240528989 481057978 721586967 1443173934 1683702923 2164760901 3126876857 3367405846 4329521802 5051108769 6253753714 9380630571 10102217538 15153326307 18761261142 21888137999 28141891713 30306652614 43776275998 56283783426 65664413997 131328827994 196993241991 393986483982