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104405541344 = 25131771920533
BaseRepresentation
bin110000100111100001…
…1100010000111100000
3100222111012110000211122
41201033003202013200
53202310304310334
6115544021031412
710354160313236
oct1411703420740
9328435400748
10104405541344
114030722a565
1218299255568
139acb462a40
1450a61bc956
152ab0dba32e
hex184f0e21e0

104405541344 has 96 divisors (see below), whose sum is σ = 234718404480. Its totient is φ = 45287350272.

The previous prime is 104405541323. The next prime is 104405541353. The reversal of 104405541344 is 443145504401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5074502 + ... + 5095034.

It is an arithmetic number, because the mean of its divisors is an integer number (2444983380).

Almost surely, 2104405541344 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 104405541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117359202240).

104405541344 is an abundant number, since it is smaller than the sum of its proper divisors (130312863136).

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

104405541344 is a wasteful number, since it uses less digits than its factorization.

104405541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21292 (or 21284 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 104405541344 in words is "one hundred four billion, four hundred five million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 719 884 1438 1768 2876 3536 5752 7072 9347 11504 12223 18694 20533 23008 24446 37388 41066 48892 74776 82132 97784 149552 158899 164264 195568 266929 299104 317798 328528 349061 391136 533858 635596 657056 698122 1067716 1271192 1396244 2135432 2542384 2792488 4270864 4537793 5084768 5584976 8541728 9075586 11169952 14763227 18151172 29526454 36302344 59052908 72604688 118105816 145209376 191921951 236211632 250974859 383843902 472423264 501949718 767687804 1003899436 1535375608 2007798872 3070751216 3262673167 4015597744 6141502432 6525346334 8031195488 13050692668 26101385336 52202770672 104405541344