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5544906303006 = 23271011103395027
BaseRepresentation
bin101000010110000011000…
…1010111010011000011110
3201122002101001110101121100
41100230012022322120132
51211321432003144011
615443143401413530
71111414642625640
oct120540612723036
921562331411540
105544906303006
111848644064074
12756781a9a2a6
13312b618a8565
14152536a08890
1599380935d56
hex50b062ba61e

5544906303006 has 96 divisors (see below), whose sum is σ = 13878793663488. Its totient is φ = 1567147147200.

The previous prime is 5544906302963. The next prime is 5544906303007. The reversal of 5544906303006 is 6003036094455.

5544906303006 is a `hidden beast` number, since 5 + 5 + 4 + 4 + 9 + 0 + 630 + 3 + 0 + 0 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5544906303007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13839265 + ... + 14234291.

It is an arithmetic number, because the mean of its divisors is an integer number (144570767328).

Almost surely, 25544906303006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5544906303006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939396831744).

5544906303006 is an abundant number, since it is smaller than the sum of its proper divisors (8333887360482).

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

5544906303006 is a wasteful number, since it uses less digits than its factorization.

5544906303006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396246 (or 396243 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 5544906303006 in words is "five trillion, five hundred forty-four billion, nine hundred six million, three hundred three thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1103 1414 1818 2121 2206 3309 4242 6363 6618 7721 9927 12726 15442 19854 23163 46326 69489 111403 138978 222806 334209 395027 668418 779821 790054 1002627 1185081 1559642 2005254 2339463 2370162 2765189 3555243 4678926 5530378 7018389 7110486 8295567 14036778 16591134 24886701 39897727 49773402 79795454 119693181 239386362 279284089 359079543 435714781 558568178 718159086 837852267 871429562 1307144343 1675704534 2513556801 2614288686 3050003467 3921433029 5027113602 6100006934 7842866058 9150010401 18300020802 27450031203 44007192881 54900062406 88014385762 132021578643 264043157286 308050350167 396064735929 616100700334 792129471858 924151050501 1848302101002 2772453151503 5544906303006