Search a number
-
+
137026755128619 = 321737471660331019
BaseRepresentation
bin11111001010000000000111…
…000100000110110100101011
3122222011122000011110121210200
4133022000013010012310223
5120430021243303103434
61203233120002443243
740601566505623266
oct3712000704066453
9588148004417720
10137026755128619
113a72a7a1a98714
1213450853063523
135b5c74bc26165
1425ba1b78d3cdd
1510c95a8aad199
hex7ca007106d2b

137026755128619 has 96 divisors (see below), whose sum is σ = 219834175841280. Its totient is φ = 81866413863936.

The previous prime is 137026755128597. The next prime is 137026755128741. The reversal of 137026755128619 is 916821557620731.

137026755128619 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 2 + 6 + 7 + 5 + 5 + 1 + 2 + 8 + 619 = 666.

It is not a de Polignac number, because 137026755128619 - 27 = 137026755128491 is a prime.

It is a super-2 number, since 2×1370267551286192 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137026755124619) 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, 4417494892 + ... + 4417525910.

It is an arithmetic number, because the mean of its divisors is an integer number (2289939331680).

Almost surely, 2137026755128619 is an apocalyptic number.

137026755128619 is a deficient number, since it is larger than the sum of its proper divisors (82807420712661).

137026755128619 is a wasteful number, since it uses less digits than its factorization.

137026755128619 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47729 (or 47726 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 137026755128619 in words is "one hundred thirty-seven trillion, twenty-six billion, seven hundred fifty-five million, one hundred twenty-eight thousand, six hundred nineteen".

Divisors: 1 3 9 17 37 47 51 111 141 153 333 423 629 799 1739 1887 2397 5217 5661 7191 15651 16603 29563 31019 49809 88689 93057 149427 266067 279171 282251 527323 614311 780341 846753 1147703 1457893 1581969 1842933 2341023 2540259 3443109 4373679 4745907 5528799 7023069 10329327 10443287 13121037 13265797 19510951 24784181 28872617 31329861 39797391 53942041 58532853 74352543 86617851 93989583 119392173 161826123 175598559 223057629 259853553 485478369 490834489 515008457 917014697 1472503467 1545025371 2751044091 4417510401 4635076113 8253132273 8755143769 19055312909 24205397479 26265431307 57165938727 72616192437 78796293921 171497816181 217848577311 323940319453 411491757143 895599706723 971820958359 1234475271429 2686799120169 2915462875077 3703425814287 8060397360507 15225195014291 45675585042873 137026755128619