Search a number
-
+
2533955733064 = 2371727724373943
BaseRepresentation
bin100100110111111011100…
…010000000011001001000
322222020120201202112012201
4210313323202000121020
5313004020131424224
65220025545245544
7351033533230630
oct44677342003110
98866521675181
102533955733064
1189770aa51098
1234b1207938b4
13154c49469b92
148a90362b6c0
1545da9b68a44
hex24dfb880648

2533955733064 has 128 divisors (see below), whose sum is σ = 5773898626560. Its totient is φ = 1017733828608.

The previous prime is 2533955733053. The next prime is 2533955733079. The reversal of 2533955733064 is 4603375593352.

It is a junction number, because it is equal to n+sod(n) for n = 2533955732996 and 2533955733014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642644677 + ... + 642648619.

It is an arithmetic number, because the mean of its divisors is an integer number (45108583020).

Almost surely, 22533955733064 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 2533955733064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886949313280).

2533955733064 is an abundant number, since it is smaller than the sum of its proper divisors (3239942893496).

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

2533955733064 is a wasteful number, since it uses less digits than its factorization.

2533955733064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 55.

The spelling of 2533955733064 in words is "two trillion, five hundred thirty-three billion, nine hundred fifty-five million, seven hundred thirty-three thousand, sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 277 476 554 952 1108 1939 2216 2437 3878 3943 4709 4874 7756 7886 9418 9748 15512 15772 17059 18836 19496 27601 31544 32963 34118 37672 41429 55202 65926 67031 68236 82858 110404 131852 134062 136472 165716 220808 263704 268124 290003 331432 469217 536248 580006 675049 938434 1092211 1160012 1350098 1876868 2184422 2320024 2700196 3753736 4368844 4725343 5400392 7645477 8737688 9450686 9609091 11475833 15290954 18567587 18901372 19218182 22951666 30581908 37135174 37802744 38436364 45903332 61163816 67263637 74270348 76872728 80330831 91806664 129973109 134527274 148540696 160661662 163354547 259946218 269054548 321323324 326709094 519892436 538109096 642646648 653418188 1039784872 1143481829 1306836376 2286963658 2661718207 4573927316 5323436414 9147854632 10646872828 18632027449 21293745656 37264054898 45249209519 74528109796 90498419038 149056219592 180996838076 316744466633 361993676152 633488933266 1266977866532 2533955733064