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5008325805824 = 281129107573163
BaseRepresentation
bin100100011100001011101…
…1110110000011100000000
3122201210100211120212212212
41020320113132300130000
51124024022401241244
614352443151241252
71024560660641405
oct110702736603400
918653324525785
105008325805824
111661023394720
1268a792219228
132a438ac6c0a3
141345934202ac
158a428626d9e
hex48e177b0700

5008325805824 has 144 divisors (see below), whose sum is σ = 11387438939520. Its totient is φ = 2177465364480.

The previous prime is 5008325805823. The next prime is 5008325805851. The reversal of 5008325805824 is 4285085238005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5008325805823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8451467 + ... + 9024629.

It is an arithmetic number, because the mean of its divisors is an integer number (79079437080).

Almost surely, 25008325805824 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 5008325805824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693719469760).

5008325805824 is an abundant number, since it is smaller than the sum of its proper divisors (6379113133696).

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

5008325805824 is a wasteful number, since it uses less digits than its factorization.

5008325805824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573326 (or 573312 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 50.

The spelling of 5008325805824 in words is "five trillion, eight billion, three hundred twenty-five million, eight hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 107 116 128 176 214 232 256 319 352 428 464 638 704 856 928 1177 1276 1408 1712 1856 2354 2552 2816 3103 3424 3712 4708 5104 6206 6848 7424 9416 10208 12412 13696 18832 20416 24824 27392 34133 37664 40832 49648 68266 75328 81664 99296 136532 150656 198592 273064 301312 397184 546128 573163 794368 1092256 1146326 2184512 2292652 4369024 4585304 6304793 8738048 9170608 12609586 16621727 18341216 25219172 33243454 36682432 50438344 61328441 66486908 73364864 100876688 122656882 132973816 146729728 182838997 201753376 245313764 265947632 365677994 403506752 490627528 531895264 674612851 731355988 807013504 981255056 1063790528 1349225702 1462711976 1614027008 1778524789 1962510112 2127581056 2698451404 2925423952 3557049578 3925020224 4255162112 5396902808 5850847904 7114099156 7850040448 10793805616 11701695808 14228198312 15700080896 19563772679 21587611232 23403391616 28456396624 39127545358 43175222464 46806783232 56912793248 78255090716 86350444928 113825586496 156510181432 172700889856 227651172992 313020362864 455302345984 626040725728 1252081451456 2504162902912 5008325805824