Search a number
-
+
4437006952053 = 313196721996703
BaseRepresentation
bin100000010010001001000…
…1110010010011001110101
3120201011200122101000111210
41000210102032102121311
51040143442234431203
613234155521352033
7635364111545454
oct100442216223165
916634618330453
104437006952053
1114607a682a865
125b7b08798619
1326253c39a230
14114a76396b9b
157a63b71b803
hex40912392675

4437006952053 has 96 divisors (see below), whose sum is σ = 6843228672000. Its totient is φ = 2534965766784.

The previous prime is 4437006952051. The next prime is 4437006952109. The reversal of 4437006952053 is 3502596007344.

It is not a de Polignac number, because 4437006952053 - 21 = 4437006952051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4437006951993 and 4437006952011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4437006952051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 661940100 + ... + 661946802.

It is an arithmetic number, because the mean of its divisors is an integer number (71283632000).

Almost surely, 24437006952053 is an apocalyptic number.

It is an amenable number.

4437006952053 is a deficient number, since it is larger than the sum of its proper divisors (2406221719947).

4437006952053 is a wasteful number, since it uses less digits than its factorization.

4437006952053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 4437006952053 in words is "four trillion, four hundred thirty-seven billion, six million, nine hundred fifty-two thousand, fifty-three".

Divisors: 1 3 13 19 39 57 67 199 201 247 597 741 871 1273 2587 2613 3781 3819 4489 6703 7761 11343 13333 13467 16549 20109 39999 49153 49647 58357 85291 87139 127357 147459 173329 175071 253327 255873 261417 382071 449101 519987 759981 893311 1108783 1333897 1347303 1655641 2679933 3293251 3326349 4001691 4966923 5838313 8532919 9879753 11613043 16972909 17340661 17514939 25344043 25598757 30089767 34839129 50918727 52021983 76032129 89371099 90269301 110927947 220647817 268113297 329472559 332783841 391166971 571705573 661943451 988417677 1161824287 1173500913 1698050881 1715116719 3485472861 5094152643 5987863633 7432172449 17963590899 22074661453 22296517347 66223984359 77842227229 113769409027 233526681687 341308227081 1479002317351 4437006952053