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6639274669041 = 327229242312
BaseRepresentation
bin110000010011101001110…
…0110111011001111110001
3212111201010110121111212100
41200213103212323033301
51332234213303402131
622042012441451013
71253446262354400
oct140472346731761
925451113544770
106639274669041
11212a778513113
128b289b7a0a69
13392108a01731
1418d4b2191637
15b7a81cb47e6
hex609d39bb3f1

6639274669041 has 81 divisors (see below), whose sum is σ = 11556466683723. Its totient is φ = 3662182329120.

The previous prime is 6639274669019. The next prime is 6639274669051. The reversal of 6639274669041 is 1409664729366.

The square root of 6639274669041 is 2576679.

It is a perfect power (a square), and thus also a powerful number.

6639274669041 is a `hidden beast` number, since 6 + 63 + 9 + 27 + 466 + 90 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3481474588641 + 3157800080400 = 1865871^2 + 1777020^2 .

It is not a de Polignac number, because 6639274669041 - 27 = 6639274668913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6639274669041.

It is not an unprimeable number, because it can be changed into a prime (6639274669051) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1569195396 + ... + 1569199626.

Almost surely, 26639274669041 is an apocalyptic number.

6639274669041 is the 2576679-th square number.

6639274669041 is the 1288340-th centered octagonal number.

It is an amenable number.

6639274669041 is a deficient number, since it is larger than the sum of its proper divisors (4917192014682).

6639274669041 is an frugal number, since it uses more digits than its factorization.

6639274669041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8540 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 6639274669041 in words is "six trillion, six hundred thirty-nine billion, two hundred seventy-four million, six hundred sixty-nine thousand, forty-one".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 841 1421 1827 2523 4231 4263 5887 7569 12693 12789 17661 29617 38079 41209 52983 88851 122699 123627 207319 266553 368097 370881 621957 858893 1104291 1865871 2576679 3558271 6012251 7730037 10674813 17901361 18036753 24907897 32024439 53704083 54110259 74723691 125309527 161112249 174355279 224171073 375928581 519139469 523065837 877166689 1127785743 1557418407 1569197511 2631500067 3633976283 4672255221 7894500201 10901928849 15055044601 25437833981 32705786547 45165133803 76313501943 105385312207 135495401409 228940505829 316155936621 737697185449 948467809863 2213091556347 6639274669041