Search a number
-
+
11360556540 = 2232564797549
BaseRepresentation
bin10101001010010010…
…00101010111111100
31002022201220001211100
422211021011113330
5141231300302130
65115144053100
7551345065044
oct124511052774
932281801740
1011360556540
1148aa813303
122250764190
1310c0838808
1479ab28724
15467560c60
hex2a52455fc

11360556540 has 72 divisors (see below), whose sum is σ = 34513970400. Its totient is φ = 3024768384.

The previous prime is 11360556539. The next prime is 11360556547. The reversal of 11360556540 is 4565506311.

11360556540 is a `hidden beast` number, since 1 + 1 + 3 + 60 + 5 + 56 + 540 = 666.

11360556540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11360556495 and 11360556504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11360556547) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 67686 + ... + 165234.

It is an arithmetic number, because the mean of its divisors is an integer number (479360700).

Almost surely, 211360556540 is an apocalyptic number.

11360556540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11360556540 is an abundant number, since it is smaller than the sum of its proper divisors (23153413860).

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

11360556540 is a wasteful number, since it uses less digits than its factorization.

11360556540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98211 (or 98206 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 11360556540 in words is "eleven billion, three hundred sixty million, five hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 647 1294 1941 2588 3235 3882 5823 6470 7764 9705 11646 12940 19410 23292 29115 38820 58230 97549 116460 195098 292647 390196 487745 585294 877941 975490 1170588 1463235 1755882 1950980 2926470 3511764 4389705 5852940 8779410 17558820 63114203 126228406 189342609 252456812 315571015 378685218 568027827 631142030 757370436 946713045 1136055654 1262284060 1893426090 2272111308 2840139135 3786852180 5680278270 11360556540