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104209392384 = 283283544937
BaseRepresentation
bin110000100001101011…
…1010010001100000000
3100221222112100122001100
41201003113102030000
53201410101024014
6115512332534400
710346256135336
oct1410327221400
9327875318040
10104209392384
1140216537989
1218243621400
139a99926576
14508811db56
152a9da72009
hex18435d2300

104209392384 has 108 divisors (see below), whose sum is σ = 304081943256. Its totient is φ = 34317889536.

The previous prime is 104209392337. The next prime is 104209392433. The reversal of 104209392384 is 483293902401.

104209392384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1042093923842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81237 + ... + 463700.

Almost surely, 2104209392384 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 104209392384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152040971628).

104209392384 is an abundant number, since it is smaller than the sum of its proper divisors (199872550872).

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

104209392384 is an equidigital number, since it uses as much as digits as its factorization.

104209392384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545042 (or 545025 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 104209392384 in words is "one hundred four billion, two hundred nine million, three hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 576 664 747 768 996 1152 1328 1494 1992 2304 2656 2988 3984 5312 5976 7968 10624 11952 15936 21248 23904 31872 47808 63744 95616 191232 544937 1089874 1634811 2179748 3269622 4359496 4904433 6539244 8718992 9808866 13078488 17437984 19617732 26156976 34875968 39235464 45229771 52313952 69751936 78470928 90459542 104627904 135689313 139503872 156941856 180919084 209255808 271378626 313883712 361838168 407067939 418511616 542757252 627767424 723676336 814135878 1085514504 1255534848 1447352672 1628271756 2171029008 2894705344 3256543512 4342058016 5789410688 6513087024 8684116032 11578821376 13026174048 17368232064 26052348096 34736464128 52104696192 104209392384