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201427670444 = 227111369597229
BaseRepresentation
bin1011101110011000000…
…1100101010110101100
3201020220211200212011112
42323212001211112230
511300010440423234
6232311250011152
720360364643340
oct2734601452654
9636824625145
10201427670444
117847473a130
1233055876ab8
1315cc10384a0
149a6b957620
15538d982ace
hex2ee60655ac

201427670444 has 96 divisors (see below), whose sum is σ = 473418086400. Its totient is φ = 72421090560.

The previous prime is 201427670401. The next prime is 201427670569. The reversal of 201427670444 is 444076724102.

201427670444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27860222 + ... + 27867450.

It is an arithmetic number, because the mean of its divisors is an integer number (4931438400).

Almost surely, 2201427670444 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 201427670444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236709043200).

201427670444 is an abundant number, since it is smaller than the sum of its proper divisors (271990415956).

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

201427670444 is a wasteful number, since it uses less digits than its factorization.

201427670444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14223 (or 14221 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 41.

The spelling of 201427670444 in words is "two hundred one billion, four hundred twenty-seven million, six hundred seventy thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 6959 7229 13918 14458 27836 28916 48713 50603 76549 79519 90467 93977 97426 101206 153098 159038 180934 187954 194852 202412 306196 318076 361868 375908 535843 556633 633269 657839 995137 1033747 1071686 1113266 1266538 1315678 1990274 2067494 2143372 2226532 2533076 2631356 3980548 4134988 6965959 7236229 13931918 14472458 27863836 28944916 50306611 100613222 201226444 352146277 553372721 653985943 704292554 1106745442 1307971886 1408585108 2213490884 2615943772 3873609047 4577901601 7193845373 7747218094 9155803202 14387690746 15494436188 18311606404 28775381492 50356917611 100713835222 201427670444