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104382406758 = 237171915749009
BaseRepresentation
bin110000100110110101…
…1010010000001100110
3100222102120220200011010
41201031223102001212
53202233344004013
6115541433123050
710353456550410
oct1411553220146
9328376820133
10104382406758
11402a5169173
1218291559486
139ac6722936
1450a30b99b0
152aadd4a7c3
hex184dad2066

104382406758 has 128 divisors (see below), whose sum is σ = 267618124800. Its totient is φ = 26421977088.

The previous prime is 104382406721. The next prime is 104382406783. The reversal of 104382406758 is 857604283401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2105358 + ... + 2154366.

It is an arithmetic number, because the mean of its divisors is an integer number (2090766600).

Almost surely, 2104382406758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104382406758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133809062400).

104382406758 is an abundant number, since it is smaller than the sum of its proper divisors (163235718042).

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

104382406758 is a wasteful number, since it uses less digits than its factorization.

104382406758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49214.

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 104382406758 in words is "one hundred four billion, three hundred eighty-two million, four hundred six thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 157 238 266 314 323 357 399 471 646 714 798 942 969 1099 1938 2198 2261 2669 2983 3297 4522 5338 5966 6594 6783 8007 8949 13566 16014 17898 18683 20881 37366 41762 49009 50711 56049 62643 98018 101422 112098 125286 147027 152133 294054 304266 343063 354977 686126 709954 833153 931171 1029189 1064931 1666306 1862342 2058378 2129862 2499459 2793513 4998918 5587026 5832071 6518197 7694413 11664142 13036394 15388826 15829907 17496213 19554591 23083239 31659814 34992426 39109182 46166478 47489721 53860891 94979442 107721782 110809349 130805021 146193847 161582673 221618698 261610042 292387694 323165346 332428047 392415063 438581541 664856094 784830126 877163082 915635147 1023356929 1831270294 2046713858 2485295399 2746905441 3070070787 4970590798 5493810882 6140141574 7455886197 14911772394 17397067793 34794135586 52191203379 104382406758