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9009190000 = 24547112689
BaseRepresentation
bin10000110001111110…
…10101010001110000
3212020212101021022201
420120333111101300
5121422323040000
64045550112544
7436153565026
oct103077252160
925225337281
109009190000
1139034a8878
1218b51ab754
13b0764a275
14616728716
1537ade496a
hex218fd5470

9009190000 has 100 divisors (see below), whose sum is σ = 22121106480. Its totient is φ = 3552640000.

The previous prime is 9009189991. The next prime is 9009190019. The reversal of 9009190000 is 919009.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×90091900002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 703656 + ... + 716344.

Almost surely, 29009190000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9009190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060553240).

9009190000 is an abundant number, since it is smaller than the sum of its proper divisors (13111916480).

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

9009190000 is a wasteful number, since it uses less digits than its factorization.

9009190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12788 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 9009190000 is about 94916.7529996681. The cubic root of 9009190000 is about 2080.7915811079.

The spelling of 9009190000 in words is "nine billion, nine million, one hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 625 710 1000 1136 1250 1420 1775 2000 2500 2840 3550 5000 5680 7100 8875 10000 12689 14200 17750 25378 28400 35500 44375 50756 63445 71000 88750 101512 126890 142000 177500 203024 253780 317225 355000 507560 634450 710000 900919 1015120 1268900 1586125 1801838 2537800 3172250 3603676 4504595 5075600 6344500 7207352 7930625 9009190 12689000 14414704 15861250 18018380 22522975 25378000 31722500 36036760 45045950 63445000 72073520 90091900 112614875 126890000 180183800 225229750 360367600 450459500 563074375 900919000 1126148750 1801838000 2252297500 4504595000 9009190000