Search a number
-
+
6700197648676 = 22746124332
BaseRepresentation
bin110000110000000001011…
…1001101001100100100100
3212201112101021221112122111
41201200002321221210210
51334234001044224201
622130010040410404
71261034100220000
oct141400271514444
925645337845574
106700197648676
1121535a0998464
12902662776a04
13397a9773c9cc
14192411463700
15b944a582b51
hex61802e69924

6700197648676 has 135 divisors (see below), whose sum is σ = 13938865485363. Its totient is φ = 2817916335360.

The previous prime is 6700197648673. The next prime is 6700197648751. The reversal of 6700197648676 is 6768467910076.

The square root of 6700197648676 is 2588474.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5029837852900 + 1670359795776 = 2242730^2 + 1292424^2 .

It is a super-3 number, since 3×67001976486763 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6700197648673) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15473897356 + ... + 15473897788.

Almost surely, 26700197648676 is an apocalyptic number.

6700197648676 is the 2588474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6700197648676

6700197648676 is an abundant number, since it is smaller than the sum of its proper divisors (7238667836687).

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

6700197648676 is an frugal number, since it uses more digits than its factorization.

6700197648676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 67.

The spelling of 6700197648676 in words is "six trillion, seven hundred billion, one hundred ninety-seven million, six hundred forty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 343 427 433 686 854 866 1372 1708 1732 2401 2989 3031 3721 4802 5978 6062 7442 9604 11956 12124 14884 20923 21217 26047 26413 41846 42434 52094 52826 83692 84868 104188 105652 146461 148519 182329 184891 187489 292922 297038 364658 369782 374978 585844 594076 729316 739564 749956 1039633 1276303 1294237 1312423 1611193 2079266 2552606 2588474 2624846 3222386 4158532 5105212 5176948 5249692 6444772 8934121 9059659 9186961 11278351 11436829 17868242 18119318 18373922 22556702 22873658 35736484 36238636 36747844 45113404 45747316 63417613 64308727 78948457 80057803 126835226 128617454 157896914 160115606 253670452 257234908 315793828 320231212 450161089 552639199 560404621 697646569 900322178 1105278398 1120809242 1395293138 1800644356 2210556796 2241618484 2790586276 3868474393 3922832347 4883525983 7736948786 7845664694 9767051966 15473897572 15691329388 19534103932 27459826429 34184681881 54919652858 68369363762 109839305716 136738727524 239292773167 478585546334 957171092668 1675049412169 3350098824338 6700197648676