Search a number
-
+
11436108640 = 2551110760727
BaseRepresentation
bin10101010011010010…
…10010101101100000
31002112000001111211021
422221221102231200
5141410120434030
65130443255224
7553253214415
oct125151225540
932460044737
1011436108640
114939426760
122271b1a514
13110339c4b8
147a6b9410c
1546ded697a
hex2a9a52b60

11436108640 has 96 divisors (see below), whose sum is σ = 29749918464. Its totient is φ = 4119651840.

The previous prime is 11436108623. The next prime is 11436108647. The reversal of 11436108640 is 4680163411.

It is a junction number, because it is equal to n+sod(n) for n = 11436108596 and 11436108605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11436108647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157957 + ... + 218683.

It is an arithmetic number, because the mean of its divisors is an integer number (309894984).

Almost surely, 211436108640 is an apocalyptic number.

11436108640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11436108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874959232).

11436108640 is an abundant number, since it is smaller than the sum of its proper divisors (18313809824).

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

11436108640 is a wasteful number, since it uses less digits than its factorization.

11436108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60860 (or 60852 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 11436108640 in words is "eleven billion, four hundred thirty-six million, one hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 107 110 160 176 214 220 352 428 440 535 856 880 1070 1177 1712 1760 2140 2354 3424 4280 4708 5885 8560 9416 11770 17120 18832 23540 37664 47080 60727 94160 121454 188320 242908 303635 485816 607270 667997 971632 1214540 1335994 1943264 2429080 2671988 3339985 4858160 5343976 6497789 6679970 9716320 10687952 12995578 13359940 21375904 25991156 26719880 32488945 51982312 53439760 64977890 71475679 103964624 106879520 129955780 142951358 207929248 259911560 285902716 357378395 519823120 571805432 714756790 1039646240 1143610864 1429513580 2287221728 2859027160 5718054320 11436108640