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9889058000 = 245329533217
BaseRepresentation
bin10010011010110111…
…10000110011010000
3221112012000012022102
421031123300303100
5130223044324000
64313140455532
7500026414613
oct111533606320
927465005272
109889058000
11421512a708
121abb9aa5a8
13c17a15413
1469b52417a
153cd2963d5
hex24d6f0cd0

9889058000 has 160 divisors (see below), whose sum is σ = 25210841760. Its totient is φ = 3745996800.

The previous prime is 9889057993. The next prime is 9889058057. The reversal of 9889058000 is 8509889.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3510799504 + 6378258496 = 59252^2 + 79864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3072392 + ... + 3075608.

It is an arithmetic number, because the mean of its divisors is an integer number (157567761).

Almost surely, 29889058000 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 9889058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12605420880).

9889058000 is an abundant number, since it is smaller than the sum of its proper divisors (15321783760).

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

9889058000 is a wasteful number, since it uses less digits than its factorization.

9889058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 47.

The square root of 9889058000 is about 99443.7428901386. The cubic root of 9889058000 is about 2146.4378005729.

The spelling of 9889058000 in words is "nine billion, eight hundred eighty-nine million, fifty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 53 58 80 100 106 116 125 145 200 212 232 250 265 290 400 424 464 500 530 580 725 848 1000 1060 1160 1325 1450 1537 2000 2120 2320 2650 2900 3074 3217 3625 4240 5300 5800 6148 6434 6625 7250 7685 10600 11600 12296 12868 13250 14500 15370 16085 21200 24592 25736 26500 29000 30740 32170 38425 51472 53000 58000 61480 64340 76850 80425 93293 106000 122960 128680 153700 160850 170501 186586 192125 257360 307400 321700 341002 373172 384250 402125 466465 614800 643400 682004 746344 768500 804250 852505 932930 1286800 1364008 1492688 1537000 1608500 1705010 1865860 2332325 2728016 3074000 3217000 3410020 3731720 4262525 4664650 4944529 6434000 6820040 7463440 8525050 9329300 9889058 11661625 13640080 17050100 18658600 19778116 21312625 23323250 24722645 34100200 37317200 39556232 42625250 46646500 49445290 68200400 79112464 85250500 93293000 98890580 123613225 170501000 186586000 197781160 247226450 341002000 395562320 494452900 618066125 988905800 1236132250 1977811600 2472264500 4944529000 9889058000