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5998134585144 = 23313311633804629
BaseRepresentation
bin101011101001000110010…
…1011100110011100111000
3210020102020022102122210010
41113102030223212130320
51241233134423211034
620431301024421520
71156231236514662
oct127221453463470
923212208378703
105998134585144
111a02881669689
1280a58b1778a0
13346810a48220
1416a450169532
15a605a30c3e9
hex5748cae6738

5998134585144 has 128 divisors (see below), whose sum is σ = 16772026521600. Its totient is φ = 1775087239680.

The previous prime is 5998134585133. The next prime is 5998134585169. The reversal of 5998134585144 is 4415854318995.

It is a congruent number.

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, 325779 + ... + 3478850.

It is an arithmetic number, because the mean of its divisors is an integer number (131031457200).

Almost surely, 25998134585144 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 5998134585144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386013260800).

5998134585144 is an abundant number, since it is smaller than the sum of its proper divisors (10773891936456).

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

5998134585144 is a wasteful number, since it uses less digits than its factorization.

5998134585144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804845 (or 3804841 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 66.

The spelling of 5998134585144 in words is "five trillion, nine hundred ninety-eight billion, one hundred thirty-four million, five hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 163 186 248 312 326 372 403 489 652 744 806 978 1209 1304 1612 1956 2119 2418 3224 3912 4238 4836 5053 6357 8476 9672 10106 12714 15159 16952 20212 25428 30318 40424 50856 60636 65689 121272 131378 197067 262756 394134 525512 788268 1576536 3804629 7609258 11413887 15218516 22827774 30437032 45655548 49460177 91311096 98920354 117943499 148380531 197840708 235886998 296761062 353830497 395681416 471773996 593522124 620154527 707660994 943547992 1187044248 1240309054 1415321988 1533265487 1860463581 2480618108 2830643976 3066530974 3720927162 4599796461 4961236216 6133061948 7441854324 8062008851 9199592922 12266123896 14883708648 16124017702 18399185844 19224790337 24186026553 32248035404 36798371688 38449580674 48372053106 57674371011 64496070808 76899161348 96744106212 115348742022 153798322696 193488212424 230697484044 249922274381 461394968088 499844548762 749766823143 999689097524 1499533646286 1999378195048 2999067292572 5998134585144