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11163169000 = 235317656657
BaseRepresentation
bin10100110010110000…
…00111000011101000
31001210222110202000201
422121120013003220
5140330232402000
65043413241544
7543430241134
oct123130070350
931728422021
1011163169000
114809355105
1221b66332b4
13108b987659
1477c8263c4
1545507096a
hex2996070e8

11163169000 has 64 divisors (see below), whose sum is σ = 27658434960. Its totient is φ = 4202598400.

The previous prime is 11163168977. The next prime is 11163169007. The reversal of 11163169000 is 96136111.

It can be written as a sum of positive squares in 8 ways, for example, as 2578405284 + 8584763716 = 50778^2 + 92654^2 .

It is a super-3 number, since 3×111631690003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11163169000.

It is not an unprimeable number, because it can be changed into a prime (11163169007) 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, 311329 + ... + 345328.

Almost surely, 211163169000 is an apocalyptic number.

11163169000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11163169000 is an abundant number, since it is smaller than the sum of its proper divisors (16495265960).

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

11163169000 is a wasteful number, since it uses less digits than its factorization.

11163169000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656695 (or 656681 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 11163169000 in words is "eleven billion, one hundred sixty-three million, one hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 656657 1313314 2626628 3283285 5253256 6566570 11163169 13133140 16416425 22326338 26266280 32832850 44652676 55815845 65665700 82082125 89305352 111631690 131331400 164164250 223263380 279079225 328328500 446526760 558158450 656657000 1116316900 1395396125 2232633800 2790792250 5581584500 11163169000