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85358222285358 = 23112739743214129
BaseRepresentation
bin10011011010001000000010…
…100001001001101000101110
3102012020011111021101201111110
4103122020002201021220232
542142002114401112413
6501313005335532450
723656633215063261
oct2332100241115056
9365204437351443
1085358222285358
112521a245217700
1296a6bb3b2a126
1338823270c58b9
141711507bbacd8
159d056ae668c3
hex4da202849a2e

85358222285358 has 96 divisors (see below), whose sum is σ = 188154694828800. Its totient is φ = 25796239983360.

The previous prime is 85358222285333. The next prime is 85358222285407.

85358222285358 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×853582222853582 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 398522838 + ... + 398736966.

It is an arithmetic number, because the mean of its divisors is an integer number (1959944737800).

Almost surely, 285358222285358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85358222285358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94077347414400).

85358222285358 is an abundant number, since it is smaller than the sum of its proper divisors (102796472543442).

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

85358222285358 is a wasteful number, since it uses less digits than its factorization.

85358222285358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215638 (or 215627 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 66.

The spelling of 85358222285358 in words is "eighty-five trillion, three hundred fifty-eight billion, two hundred twenty-two million, two hundred eighty-five thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 739 743 1478 1486 2217 2229 4434 4458 8129 8173 16258 16346 24387 24519 48774 49038 89419 89903 178838 179806 214129 268257 269709 428258 536514 539418 549077 642387 1098154 1284774 1647231 2355419 3294462 4710838 6039847 7066257 12079694 14132514 18119541 25909609 36239082 51819218 66438317 77728827 132876634 155457654 158241331 159097847 199314951 316482662 318195694 398629902 474723993 477293541 949447986 954587082 1740654641 1750076317 3481309282 3500152634 5221963923 5250228951 10443927846 10500457902 19147201051 19250839487 38294402102 38501678974 57441603153 57752518461 114883206306 115505036922 117573308933 235146617866 352719926799 705439853598 1293306398263 2586612796526 3879919194789 7759838389578 14226370380893 28452740761786 42679111142679 85358222285358