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5008142830784 = 26616739771951
BaseRepresentation
bin100100011100000110010…
…0100110000110011000000
3122201202220002021210022112
41020320030210300303000
51124023134031041114
614352413053354452
71024553306452442
oct110701444606300
918652802253275
105008142830784
111660a3a07a885
1268a740a98a28
132a435c096032
14134576dd0492
158a41753213e
hex48e0c930cc0

5008142830784 has 112 divisors (see below), whose sum is σ = 10131505280256. Its totient is φ = 2455584768000.

The previous prime is 5008142830739. The next prime is 5008142830813. The reversal of 5008142830784 is 4870382418005.

It is a super-2 number, since 2×50081428307842 (a number of 26 digits) contains 22 as substring.

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, 2566961009 + ... + 2566962959.

Almost surely, 25008142830784 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 5008142830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065752640128).

5008142830784 is an abundant number, since it is smaller than the sum of its proper divisors (5123362449472).

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

5008142830784 is a wasteful number, since it uses less digits than its factorization.

5008142830784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 5008142830784 in words is "five trillion, eight billion, one hundred forty-two million, eight hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 673 976 977 1346 1951 1952 1954 2692 3902 3904 3908 5384 7804 7816 10768 15608 15632 21536 31216 31264 41053 43072 59597 62432 62528 82106 119011 119194 124864 164212 238022 238388 328424 476044 476776 656848 657521 952088 953552 1313023 1313696 1315042 1904176 1906127 1907104 2626046 2627392 2630084 3808352 3812254 3814208 5252092 5260168 7616704 7624508 10504184 10520336 15249016 21008368 21040672 30498032 40108781 42016736 42081344 60996064 80094403 80217562 84033472 116273747 121992128 160188806 160435124 232547494 320377612 320870248 465094988 640755224 641740496 930189976 1281510448 1282823471 1283480992 1860379952 2563020896 2565646942 2566961984 3720759904 5126041792 5131293884 7441519808 10262587768 20525175536 41050351072 78252231731 82100702144 156504463462 313008926924 626017853848 1252035707696 2504071415392 5008142830784