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4515130555104 = 2531320991723627
BaseRepresentation
bin100000110110100001011…
…0000001011101011100000
3120222122100012201020210110
41001231002300023223200
51042433441410230404
613334120005331320
7644131100324151
oct101550260135340
916878305636713
104515130555104
111490946542064
1260b090106b40
13269a0c8438a0
14118767c4d928
157c6b00e0b89
hex41b42c0bae0

4515130555104 has 96 divisors (see below), whose sum is σ = 12770015126400. Its totient is φ = 1388608261632.

The previous prime is 4515130554947. The next prime is 4515130555123. The reversal of 4515130555104 is 4015550315154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1757739 + ... + 3481365.

It is an arithmetic number, because the mean of its divisors is an integer number (133020990900).

Almost surely, 24515130555104 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 4515130555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385007563200).

4515130555104 is an abundant number, since it is smaller than the sum of its proper divisors (8254884571296).

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

4515130555104 is a wasteful number, since it uses less digits than its factorization.

4515130555104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725752 (or 1725744 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 39.

The spelling of 4515130555104 in words is "four trillion, five hundred fifteen billion, one hundred thirty million, five hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2099 4198 6297 8396 12594 16792 25188 27287 33584 50376 54574 67168 81861 100752 109148 163722 201504 218296 327444 436592 654888 873184 1309776 1723627 2619552 3447254 5170881 6894508 10341762 13789016 20683524 22407151 27578032 41367048 44814302 55156064 67221453 82734096 89628604 134442906 165468192 179257208 268885812 358514416 537771624 717028832 1075543248 2151086496 3617893073 7235786146 10853679219 14471572292 21707358438 28943144584 43414716876 47032609949 57886289168 86829433752 94065219898 115772578336 141097829847 173658867504 188130439796 282195659694 347317735008 376260879592 564391319388 752521759184 1128782638776 1505043518368 2257565277552 4515130555104