Search a number
-
+
10581452442 = 2331147675657
BaseRepresentation
bin10011101101011010…
…00010011010011010
31000022102212110221000
421312231002122122
5133132322434232
64505553125430
7523134601401
oct116655023232
930272773830
1010581452442
11453aa54920
122073859876
13cc82c0a82
1472547c638
1541de6527c
hex276b4269a

10581452442 has 128 divisors (see below), whose sum is σ = 26593505280. Its totient is φ = 3090890880.

The previous prime is 10581452407. The next prime is 10581452461. The reversal of 10581452442 is 24425418501.

10581452442 is a `hidden beast` number, since 10 + 5 + 81 + 4 + 524 + 42 = 666.

10581452442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105814524422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10581452397 and 10581452406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1867678 + ... + 1873334.

It is an arithmetic number, because the mean of its divisors is an integer number (207761760).

Almost surely, 210581452442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10581452442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296752640).

10581452442 is an abundant number, since it is smaller than the sum of its proper divisors (16012052838).

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

10581452442 is a wasteful number, since it uses less digits than its factorization.

10581452442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 10581452442 in words is "ten billion, five hundred eighty-one million, four hundred fifty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 67 94 99 134 141 198 201 282 297 402 423 517 594 603 737 846 1034 1206 1269 1474 1551 1809 2211 2538 3102 3149 3618 4422 4653 5657 6298 6633 9306 9447 11314 13266 13959 16971 18894 19899 27918 28341 33942 34639 39798 50913 56682 62227 69278 85023 101826 103917 124454 152739 170046 186681 207834 265879 305478 311751 373362 379019 531758 560043 623502 758038 797637 935253 1120086 1137057 1595274 1680129 1870506 2274114 2392911 2924669 3360258 3411171 4169209 4785822 5849338 6822342 7178733 8338418 8774007 10233513 12507627 14357466 17548014 17813893 20467026 25015254 26322021 35627786 37522881 52644042 53441679 75045762 78966063 106883358 112568643 157932126 160325037 195952823 225137286 320650074 391905646 480975111 587858469 961950222 1175716938 1763575407 3527150814 5290726221 10581452442