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11285754540 = 2235238178083
BaseRepresentation
bin10101000001010111…
…01111001010101100
31002010112010201202220
422200223233022230
5141103123121130
65103512515340
7546446221314
oct124053571254
932115121686
1011285754540
114871572475
12222b6abb50
1310ab1a8388
14790c16444
15460bd7410
hex2a0aef2ac

11285754540 has 48 divisors (see below), whose sum is σ = 32974034688. Its totient is φ = 2878684864.

The previous prime is 11285754533. The next prime is 11285754547. The reversal of 11285754540 is 4545758211.

It is a happy number.

11285754540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11285754533) and next prime (11285754547).

It is a super-2 number, since 2×112857545402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11285754492 and 11285754501.

It is not an unprimeable number, because it can be changed into a prime (11285754547) 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 15 ways as a sum of consecutive naturals, for example, 4087662 + ... + 4090421.

It is an arithmetic number, because the mean of its divisors is an integer number (686959056).

Almost surely, 211285754540 is an apocalyptic number.

11285754540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11285754540 is an abundant number, since it is smaller than the sum of its proper divisors (21688280148).

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

11285754540 is a wasteful number, since it uses less digits than its factorization.

11285754540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178118 (or 8178116 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The spelling of 11285754540 in words is "eleven billion, two hundred eighty-five million, seven hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 8178083 16356166 24534249 32712332 40890415 49068498 81780830 98136996 122671245 163561660 188095909 245342490 376191818 490684980 564287727 752383636 940479545 1128575454 1880959090 2257150908 2821438635 3761918180 5642877270 11285754540