Search a number
-
+
9086971803162 = 23112113353313783
BaseRepresentation
bin1000010000111011100110…
…1110011111011000011010
31012011201001200121012100020
42010032321232133120122
52142340104240200122
631154255222051310
71625340426620511
oct204167156373032
935151050535306
109086971803162
112993843760100
121029148579b36
1350bb89507406
14235b5175b678
1510b58dc94c5c
hex843b9b9f61a

9086971803162 has 96 divisors (see below), whose sum is σ = 20210255097984. Its totient is φ = 2721519144960.

The previous prime is 9086971803127. The next prime is 9086971803167. The reversal of 9086971803162 is 2613081796809.

It is a super-2 number, since 2×90869718031622 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9086971803096 and 9086971803105.

It is not an unprimeable number, because it can be changed into a prime (9086971803167) 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, 28802523 + ... + 29116305.

It is an arithmetic number, because the mean of its divisors is an integer number (210523490604).

Almost surely, 29086971803162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9086971803162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10105127548992).

9086971803162 is an abundant number, since it is smaller than the sum of its proper divisors (11123283294822).

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

9086971803162 is a wasteful number, since it uses less digits than its factorization.

9086971803162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314276 (or 314265 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 9086971803162 in words is "nine trillion, eighty-six billion, nine hundred seventy-one million, eight hundred three thousand, one hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 113 121 226 242 339 353 363 678 706 726 1059 1243 2118 2486 3729 3883 7458 7766 11649 13673 23298 27346 39889 41019 42713 79778 82038 85426 119667 128139 239334 256278 313783 438779 627566 877558 941349 1316337 1882698 2632674 3451613 4826569 6903226 9653138 10354839 14479707 20709678 28959414 35457479 37967743 70914958 75935486 106372437 110765399 113903229 212744874 221530798 227806458 332296197 390032269 664592394 780064538 1170096807 1218419389 2340193614 2436838778 3655258167 4290354959 7310516334 8580709918 12516490087 12871064877 13402613279 25032980174 25742129754 26805226558 37549470261 40207839837 75098940522 80415679674 137681390957 275362781914 413044172871 826088345742 1514495300527 3028990601054 4543485901581 9086971803162