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2534108306466 = 23111724133727809
BaseRepresentation
bin100100111000000100101…
…000000001110000100010
322222020222100212001120110
4210320010220001300202
5313004323211301331
65220053035352150
7351040365126222
oct44700450016042
98866870761513
102534108306466
11897789090810
1234b1638b2656
13154c71c5a1b9
148a9199c6082
1545db8255946
hex24e04a01c22

2534108306466 has 128 divisors (see below), whose sum is σ = 5896143601920. Its totient is φ = 717579878400.

The previous prime is 2534108306453. The next prime is 2534108306497. The reversal of 2534108306466 is 6646038014352.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91111570 + ... + 91139378.

It is an arithmetic number, because the mean of its divisors is an integer number (46063621890).

Almost surely, 22534108306466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534108306466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948071800960).

2534108306466 is an abundant number, since it is smaller than the sum of its proper divisors (3362035295454).

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

2534108306466 is a wasteful number, since it uses less digits than its factorization.

2534108306466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28420.

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 2534108306466 in words is "two trillion, five hundred thirty-four billion, one hundred eight million, three hundred six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 241 337 374 482 561 674 723 1011 1122 1446 2022 2651 3707 4097 5302 5729 7414 7953 8194 11121 11458 12291 15906 17187 22242 24582 27809 34374 45067 55618 63019 81217 83427 90134 126038 135201 162434 166854 189057 243651 270402 305899 378114 472753 487302 611798 893387 917697 945506 1380689 1418259 1786774 1835394 2680161 2761378 2836518 4142067 5200283 5360322 6701969 8284134 9371633 10400566 13403938 15187579 15600849 18743266 20105907 28114899 30375158 31201698 40211814 45562737 56229798 73721659 91125474 103087963 113933473 147443318 159317761 206175926 221164977 227866946 309263889 318635522 341800419 442329954 477953283 618527778 683600838 955906566 1253268203 1752495371 2258563553 2506536406 3504990742 3759804609 4517127106 5257486113 6775690659 7519609218 10514972226 13551381318 24844199083 38395580401 49688398166 74532597249 76791160802 115186741203 149065194498 230373482406 422351384411 844702768822 1267054153233 2534108306466