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5984098533768 = 23317831290713691
BaseRepresentation
bin101011100010100100000…
…0100010100000110001000
3210012002000010010101000110
41113011020010110012020
51241020413211040033
620421020143234320
71155223353165255
oct127051004240610
923162003111013
105984098533768
1119a7929687523
128079125a89a0
133453b4b25b94
141698bbd8a42c
15a59d7e57363
hex57148114188

5984098533768 has 128 divisors (see below), whose sum is σ = 16033520401920. Its totient is φ = 1854466237440.

The previous prime is 5984098533761. The next prime is 5984098533769. The reversal of 5984098533768 is 8673358904895.

It is a self number, because there is not a number n which added to its sum of digits gives 5984098533768.

It is not an unprimeable number, because it can be changed into a prime (5984098533761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437075803 + ... + 437089493.

It is an arithmetic number, because the mean of its divisors is an integer number (125261878140).

Almost surely, 25984098533768 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 5984098533768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8016760200960).

5984098533768 is an abundant number, since it is smaller than the sum of its proper divisors (10049421868152).

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

5984098533768 is a wasteful number, since it uses less digits than its factorization.

5984098533768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26707 (or 26703 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 75.

The spelling of 5984098533768 in words is "five trillion, nine hundred eighty-four billion, ninety-eight million, five hundred thirty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 136 166 204 249 332 408 498 664 996 1411 1992 2822 4233 5644 8466 11288 12907 13691 16932 25814 27382 33864 38721 41073 51628 54764 77442 82146 103256 109528 154884 164292 219419 232747 309768 328584 438838 465494 658257 698241 877676 930988 1071281 1136353 1316514 1396482 1755352 1861976 2142562 2272706 2633028 2792964 3213843 3409059 4285124 4545412 5266056 5585928 6427686 6818118 8570248 9090824 12855372 13636236 18211777 19318001 25710744 27272472 36423554 38636002 54635331 57954003 72847108 77272004 109270662 115908006 145694216 154544008 176709737 218541324 231816012 353419474 437082648 463632024 530129211 706838948 1060258422 1413677896 2120516844 3004065529 4241033688 6008131058 9012196587 12016262116 14666908171 18024393174 24032524232 29333816342 36048786348 44000724513 58667632684 72097572696 88001449026 117335265368 176002898052 249337438907 352005796104 498674877814 748012316721 997349755628 1496024633442 1994699511256 2992049266884 5984098533768