Search a number
-
+
11621555115261 = 37213171033473101
BaseRepresentation
bin1010100100011101101010…
…1010100001010011111101
31112011000021011021001010220
42221013122222201103331
53010401421102142021
640414511350451553
72306425653404100
oct251073252412375
945130234231126
1011621555115261
113780745986653
121378403363bb9
13663ba59a7c20
142c26b4470737
15152483a77cc6
hexa91daaa14fd

11621555115261 has 96 divisors (see below), whose sum is σ = 20753257045248. Its totient is φ = 5713443993600.

The previous prime is 11621555115251. The next prime is 11621555115271. The reversal of 11621555115261 is 16251155512611.

It is an interprime number because it is at equal distance from previous prime (11621555115251) and next prime (11621555115271).

It is not a de Polignac number, because 11621555115261 - 26 = 11621555115197 is a prime.

It is a super-2 number, since 2×116215551152612 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11621555115211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1609611 + ... + 5082711.

It is an arithmetic number, because the mean of its divisors is an integer number (216179760888).

Almost surely, 211621555115261 is an apocalyptic number.

It is an amenable number.

11621555115261 is a deficient number, since it is larger than the sum of its proper divisors (9131701929987).

11621555115261 is a wasteful number, since it uses less digits than its factorization.

11621555115261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473251 (or 3473244 counting only the distinct ones).

The product of its digits is 90000, while the sum is 42.

The spelling of 11621555115261 in words is "eleven trillion, six hundred twenty-one billion, five hundred fifty-five million, one hundred fifteen thousand, two hundred sixty-one".

Divisors: 1 3 7 13 17 21 39 49 51 91 103 119 147 221 273 309 357 637 663 721 833 1339 1547 1751 1911 2163 2499 4017 4641 5047 5253 9373 10829 12257 15141 22763 28119 32487 36771 65611 68289 85799 159341 196833 257397 478023 1115387 3346161 3473101 10419303 24311707 45150313 59042717 72935121 135450939 170181949 177128151 316052191 357729403 413299019 510545847 767555321 948156573 1073188209 1239897057 2212365337 2302665963 2504105821 2893093133 4650482239 5372887247 6081399851 6637096011 7512317463 8679279399 13951446717 16118661741 17528740747 18244199553 32553375673 37610210729 42569798957 52586222241 79058198063 97660127019 112830632187 127709396871 227873629711 237174594189 297988592699 553407386441 683620889133 893965778097 1660222159323 3873851705087 11621555115261