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104410434352 = 24717277197969
BaseRepresentation
bin110000100111101011…
…0001100101100110000
3100222111112122121210011
41201033112030230300
53202313032344402
6115544313544304
710354250022460
oct1411726145460
9328445577704
10104410434352
1140309a71774
121829aa15094
139acc486c03
1450a6ad3ba0
152ab1534ed7
hex184f58cb30

104410434352 has 80 divisors (see below), whose sum is σ = 245679186240. Its totient is φ = 41962881024.

The previous prime is 104410434329. The next prime is 104410434353. The reversal of 104410434352 is 253434014401.

It is not an unprimeable number, because it can be changed into a prime (104410434353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 428424 + ... + 626392.

It is an arithmetic number, because the mean of its divisors is an integer number (3070989828).

Almost surely, 2104410434352 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 104410434352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122839593120).

104410434352 is an abundant number, since it is smaller than the sum of its proper divisors (141268751888).

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

104410434352 is a wasteful number, since it uses less digits than its factorization.

104410434352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198278 (or 198272 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 104410434352 its reverse (253434014401), we get a palindrome (357844448753).

The spelling of 104410434352 in words is "one hundred four billion, four hundred ten million, four hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 277 476 554 952 1108 1904 1939 2216 3878 4432 4709 7756 9418 15512 18836 31024 32963 37672 65926 75344 131852 197969 263704 395938 527408 791876 1385783 1583752 2771566 3167504 3365473 5543132 6730946 11086264 13461892 22172528 23558311 26923784 47116622 53847568 54837413 94233244 109674826 188466488 219349652 376932976 383861891 438699304 767723782 877398608 932236021 1535447564 1864472042 3070895128 3728944084 6141790256 6525652147 7457888168 13051304294 14915776336 26102608588 52205217176 104410434352