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5021305211142 = 23211433929150107
BaseRepresentation
bin100100100010001110100…
…0111010000100100000110
3122210000212101121222202100
41021010131013100210012
51124232113113224032
614402431125052530
71025530424032263
oct111043507204406
918700771558670
105021305211142
111666583982a80
126911b4b57146
132a5678caca8c
1413506514826a
158a937d5b97c
hex4911d1d0906

5021305211142 has 96 divisors (see below), whose sum is σ = 12147724068480. Its totient is φ = 1485833247360.

The previous prime is 5021305211137. The next prime is 5021305211173. The reversal of 5021305211142 is 2411125031205.

It is a happy number.

5021305211142 is a `hidden beast` number, since 5 + 0 + 2 + 1 + 305 + 211 + 142 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33376453 + ... + 33526559.

It is an arithmetic number, because the mean of its divisors is an integer number (126538792380).

Almost surely, 25021305211142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5021305211142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073862034240).

5021305211142 is an abundant number, since it is smaller than the sum of its proper divisors (7126418857338).

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

5021305211142 is a wasteful number, since it uses less digits than its factorization.

5021305211142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154098 (or 154095 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 5021305211142 in words is "five trillion, twenty-one billion, three hundred five million, two hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 3929 4257 7858 8514 11787 23574 35361 43219 70722 86438 129657 150107 168947 259314 300214 337894 388971 450321 506841 777942 900642 1013682 1350963 1520523 1651177 1858417 2701926 3041046 3302354 3716834 4953531 5575251 6454601 9907062 11150502 12909202 14860593 16725753 19363803 29721186 33451506 38727606 58091409 71000611 116182818 142001222 213001833 426003666 589770403 639005499 1179540806 1278010998 1769311209 3538622418 5307933627 6487474433 10615867254 12974948866 19462423299 25360127329 38924846598 50720254658 58387269897 76080381987 116774539794 152160763974 228241145961 278961400619 456482291922 557922801238 836884201857 1673768403714 2510652605571 5021305211142