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2158978459092 = 2237132331459467
BaseRepresentation
bin11111011010101101001…
…001001110010111010100
321122101200220212100021120
4133122231021032113110
5240333041441142332
64331453201043540
7311660333052630
oct37325511162724
97571626770246
102158978459092
11762688068164
122aa5116265b0
1312878ac91200
14766d0849dc0
153b25ee3132c
hex1f6ad24e5d4

2158978459092 has 144 divisors (see below), whose sum is σ = 6253058068992. Its totient is φ = 567679432320.

The previous prime is 2158978459091. The next prime is 2158978459177. The reversal of 2158978459092 is 2909548798512.

It is a super-2 number, since 2×21589784590922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158978459091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4469143 + ... + 4928609.

It is an arithmetic number, because the mean of its divisors is an integer number (43424014368).

Almost surely, 22158978459092 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 2158978459092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126529034496).

2158978459092 is an abundant number, since it is smaller than the sum of its proper divisors (4094079609900).

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

2158978459092 is a wasteful number, since it uses less digits than its factorization.

2158978459092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459838 (or 459823 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 69.

The spelling of 2158978459092 in words is "two trillion, one hundred fifty-eight billion, nine hundred seventy-eight million, four hundred fifty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 331 338 364 507 546 662 676 993 1014 1092 1183 1324 1986 2028 2317 2366 3549 3972 4303 4634 4732 6951 7098 8606 9268 12909 13902 14196 17212 25818 27804 30121 51636 55939 60242 90363 111878 120484 167817 180726 223756 335634 361452 391573 459467 671268 783146 918934 1174719 1378401 1566292 1837868 2349438 2756802 3216269 4698876 5513604 5973071 6432538 9648807 11946142 12865076 17919213 19297614 23892284 35838426 38595228 41811497 71676852 77649923 83622994 125434491 152083577 155299846 167245988 232949769 250868982 304167154 310599692 456250731 465899538 501737964 543549461 608334308 912501462 931799076 1064585039 1087098922 1630648383 1825002924 1977086501 2129170078 2174197844 3193755117 3261296766 3954173002 4258340156 5931259503 6387510234 6522593532 7908346004 11862519006 12775020468 13839605507 23725038012 25702124513 27679211014 41518816521 51404249026 55358422028 77106373539 83037633042 102808498052 154212747078 166075266084 179914871591 308425494156 359829743182 539744614773 719659486364 1079489229546 2158978459092