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104476339984 = 2419242532
BaseRepresentation
bin110000101001101000…
…1100110111100010000
3100222200010122222022111
41201103101212330100
53202431420334414
6115555030315104
710356010144252
oct1412321467420
9328603588274
10104476339984
1140343196635
12182b8ab8a94
139b10020c23
1450b176bcd2
152ab72028c4
hex1853466f10

104476339984 has 45 divisors (see below), whose sum is σ = 213687718293. Its totient is φ = 49477156416.

The previous prime is 104476339967. The next prime is 104476339999. The reversal of 104476339984 is 489933674401.

The square root of 104476339984 is 323228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10761987600 + 93714352384 = 103740^2 + 306128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24563202 + ... + 24567454.

Almost surely, 2104476339984 is an apocalyptic number.

104476339984 is the 323228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104476339984

104476339984 is an abundant number, since it is smaller than the sum of its proper divisors (109211378309).

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

104476339984 is an frugal number, since it uses more digits than its factorization.

104476339984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 104476339984 in words is "one hundred four billion, four hundred seventy-six million, three hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 4253 5776 8506 17012 34024 68048 80807 161614 323228 646456 1292912 1535333 3070666 6141332 12282664 18088009 24565328 36176018 72352036 144704072 289408144 343672171 687344342 1374688684 2749377368 5498754736 6529771249 13059542498 26119084996 52238169992 104476339984