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10661030136 = 23375311497
BaseRepresentation
bin10011110110111001…
…00110100011111000
31000111222121110000000
421323130212203320
5133313210431021
64521514513000
7525122155341
oct117334464370
930458543000
1010661030136
114580967809
122096435760
13100b933b73
14731c750c8
15425e33b26
hex27b7268f8

10661030136 has 128 divisors (see below), whose sum is σ = 30547886400. Its totient is φ = 3486322944.

The previous prime is 10661030117. The next prime is 10661030147. The reversal of 10661030136 is 63103016601.

It is a happy number.

10661030136 is a `hidden beast` number, since 1 + 0 + 6 + 610 + 30 + 13 + 6 = 666.

It is a super-2 number, since 2×106610301362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921540 + ... + 933036.

Almost surely, 210661030136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661030136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273943200).

10661030136 is an abundant number, since it is smaller than the sum of its proper divisors (19886856264).

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

10661030136 is an equidigital number, since it uses as much as digits as its factorization.

10661030136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11577 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10661030136 its reverse (63103016601), we get a palindrome (73764046737).

The spelling of 10661030136 in words is "ten billion, six hundred sixty-one million, thirty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 729 954 972 1272 1431 1458 1908 1944 2187 2862 2916 3816 4293 4374 5724 5832 8586 8748 11448 11497 12879 17172 17496 22994 25758 34344 34491 38637 45988 51516 68982 77274 91976 103032 103473 115911 137964 154548 206946 231822 275928 309096 310419 413892 463644 609341 620838 827784 927288 931257 1218682 1241676 1828023 1862514 2437364 2483352 2793771 3656046 3725028 4874728 5484069 5587542 7312092 7450056 8381313 10968138 11175084 14624184 16452207 16762626 21936276 22350168 25143939 32904414 33525252 43872552 49356621 50287878 65808828 67050504 98713242 100575756 131617656 148069863 197426484 201151512 296139726 394852968 444209589 592279452 888419178 1184558904 1332628767 1776838356 2665257534 3553676712 5330515068 10661030136