Search a number
-
+
11965687140 = 22351128364063
BaseRepresentation
bin10110010010011010…
…11110010101100100
31010212220112212221210
423021031132111210
5144001203442030
65255202111420
7602343443151
oct131115362544
933786485853
1011965687140
115090355940
12239b34b570
13118900c764
14817249228
154a0743bb0
hex2c935e564

11965687140 has 96 divisors (see below), whose sum is σ = 36679458816. Its totient is φ = 2890477440.

The previous prime is 11965687127. The next prime is 11965687169. The reversal of 11965687140 is 4178656911.

It is a happy number.

11965687140 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 2×119656871402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11965687140.

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 31 ways as a sum of consecutive naturals, for example, 154749 + ... + 218811.

It is an arithmetic number, because the mean of its divisors is an integer number (382077696).

Almost surely, 211965687140 is an apocalyptic number.

11965687140 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 11965687140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339729408).

11965687140 is an abundant number, since it is smaller than the sum of its proper divisors (24713771676).

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

11965687140 is a wasteful number, since it uses less digits than its factorization.

11965687140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64369 (or 64367 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

It can be divided in two parts, 119656871 and 40, that added together give a palindrome (119656911).

The spelling of 11965687140 in words is "eleven billion, nine hundred sixty-five million, six hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 283 330 566 660 849 1132 1415 1698 2830 3113 3396 4245 5660 6226 8490 9339 12452 15565 16980 18678 31130 37356 46695 62260 64063 93390 128126 186780 192189 256252 320315 384378 640630 704693 768756 960945 1281260 1409386 1921890 2114079 2818772 3523465 3843780 4228158 7046930 8456316 10570395 14093860 18129829 21140790 36259658 42281580 54389487 72519316 90649145 108778974 181298290 199428119 217557948 271947435 362596580 398856238 543894870 598284357 797712476 997140595 1087789740 1196568714 1994281190 2393137428 2991421785 3988562380 5982843570 11965687140