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11156818000 = 245353105253
BaseRepresentation
bin10100110001111111…
…11000100001010000
31001210112112002002111
422120333320201100
5140322121134000
65043025155104
7543322250116
oct123077704120
931715462074
1011156818000
114805807549
1221b448ba94
13108a572973
1477ba51ab6
15454718cba
hex298ff8850

11156818000 has 80 divisors (see below), whose sum is σ = 27486450576. Its totient is φ = 4378483200.

The previous prime is 11156817949. The next prime is 11156818019. The reversal of 11156818000 is 81865111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5238285376 + 5918532624 = 72376^2 + 76932^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53374 + ... + 158626.

Almost surely, 211156818000 is an apocalyptic number.

11156818000 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 11156818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13743225288).

11156818000 is an abundant number, since it is smaller than the sum of its proper divisors (16329632576).

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

11156818000 is a wasteful number, since it uses less digits than its factorization.

11156818000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105329 (or 105313 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 31.

The spelling of 11156818000 in words is "eleven billion, one hundred fifty-six million, eight hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5300 6625 10600 13250 21200 26500 53000 105253 106000 210506 421012 526265 842024 1052530 1684048 2105060 2631325 4210120 5262650 5578409 8420240 10525300 11156818 13156625 21050600 22313636 26313250 27892045 42101200 44627272 52626500 55784090 89254544 105253000 111568180 139460225 210506000 223136360 278920450 446272720 557840900 697301125 1115681800 1394602250 2231363600 2789204500 5578409000 11156818000