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1001844850084 = 2213213722812
BaseRepresentation
bin11101001010000101001…
…10110011110110100100
310112202221021211112000221
432211002212303312210
5112403234240200314
62044124032014124
7132244435501501
oct16450246636644
93482837745027
101001844850084
11356975333091
121421b7991344
137362055cc00
14366bd4764a8
151b0d86cd824
hexe9429b3da4

1001844850084 has 81 divisors (see below), whose sum is σ = 1919254920681. Its totient is φ = 457381317120.

The previous prime is 1001844850067. The next prime is 1001844850103. The reversal of 1001844850084 is 4800584481001.

The square root of 1001844850084 is 1000922.

It is a perfect power (a square), and thus also a powerful number.

1001844850084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 623029219684 + 378815630400 = 789322^2 + 615480^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001844850084.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3565284024 + ... + 3565284304.

Almost surely, 21001844850084 is an apocalyptic number.

1001844850084 is the 1000922-nd square number.

It is an amenable number.

1001844850084 is a deficient number, since it is larger than the sum of its proper divisors (917410070597).

1001844850084 is an equidigital number, since it uses as much as digits as its factorization.

1001844850084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The spelling of 1001844850084 in words is "one trillion, one billion, eight hundred forty-four million, eight hundred fifty thousand, eighty-four".

Divisors: 1 2 4 13 26 52 137 169 274 281 338 548 562 676 1124 1781 3562 3653 7124 7306 14612 18769 23153 37538 38497 46306 47489 75076 76994 78961 92612 94978 153988 157922 189956 243997 315844 487994 500461 975988 1000922 1026493 2001844 2052986 3171961 4105972 5274089 6343922 6505993 10548178 10817657 12687844 13011986 13344409 21096356 21635314 26023972 26688818 43270628 53377636 68563157 137126314 140629541 274252628 281259082 562518164 891321041 1482019009 1782642082 1828184033 2964038018 3565284164 3656368066 5928076036 7312736132 19266247117 38532494234 77064988468 250461212521 500922425042 1001844850084