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6790700228013 = 32131713770935149
BaseRepresentation
bin110001011010001010101…
…0001100101110110101101
3220001011222120111221000100
41202310111101211312231
51342224323224244023
622235334333021313
71300416611362302
oct142642521456655
926034876457010
106790700228013
112188a13277879
129180bb924839
133a348b70b0c0
14196958dc90a9
15bb995ad6c43
hex62d15465dad

6790700228013 has 96 divisors (see below), whose sum is σ = 11282534172000. Its totient is φ = 3898748878848.

The previous prime is 6790700228003. The next prime is 6790700228027. The reversal of 6790700228013 is 3108220070976.

It can be written as a sum of positive squares in 16 ways, for example, as 1294174713924 + 5496525514089 = 1137618^2 + 2344467^2 .

It is not a de Polignac number, because 6790700228013 - 28 = 6790700227757 is a prime.

It is a super-2 number, since 2×67907002280132 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6790700228013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6790700228003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193179963 + ... + 193215111.

It is an arithmetic number, because the mean of its divisors is an integer number (117526397625).

Almost surely, 26790700228013 is an apocalyptic number.

It is an amenable number.

6790700228013 is a deficient number, since it is larger than the sum of its proper divisors (4491833943987).

6790700228013 is a wasteful number, since it uses less digits than its factorization.

6790700228013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36031 (or 36028 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

Adding to 6790700228013 its reverse (3108220070976), we get a palindrome (9898920298989).

The spelling of 6790700228013 in words is "six trillion, seven hundred ninety billion, seven hundred million, two hundred twenty-eight thousand, thirteen".

Divisors: 1 3 9 13 17 39 51 117 137 153 221 411 663 709 1233 1781 1989 2127 2329 5343 6381 6987 9217 12053 16029 20961 27651 30277 35149 36159 82953 90831 97133 105447 108477 156689 272493 291399 316341 456937 470067 597533 874197 1262729 1370811 1410201 1651261 1792599 3788187 4112433 4815413 4953783 5377797 7767929 11364561 14446239 14861349 21466393 23303787 24920641 43338717 62600369 64399179 69911361 74761923 81862021 187801107 193197537 224285769 245586063 323968333 423650897 563403321 736758189 971904999 1064206273 1270952691 2915714997 3192618819 3414127817 3812858073 5507461661 9577856457 10242383451 16522384983 30727150353 44383661621 49567154949 58040172889 133150984863 174120518667 399452954589 522361556001 754522247557 2263566742671 6790700228013