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9980475400 = 2352759120829
BaseRepresentation
bin10010100101110000…
…11111100000001000
3221202120000200102001
421102320133200020
5130420000203100
64330204120344
7502216432630
oct112270374010
927676020361
109980475400
114261799985
121b265360b4
13c3094255c
146a971d6c0
153d6302d6a
hex252e1f808

9980475400 has 96 divisors (see below), whose sum is σ = 26969256000. Its totient is φ = 3363851520.

The previous prime is 9980475377. The next prime is 9980475409. The reversal of 9980475400 is 45740899.

It is not an unprimeable number, because it can be changed into a prime (9980475409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22186 + ... + 143014.

It is an arithmetic number, because the mean of its divisors is an integer number (280929750).

Almost surely, 29980475400 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 9980475400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484628000).

9980475400 is an abundant number, since it is smaller than the sum of its proper divisors (16988780600).

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

9980475400 is a wasteful number, since it uses less digits than its factorization.

9980475400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120911 (or 120902 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 9980475400 is about 99902.3293021739. The cubic root of 9980475400 is about 2153.0316273091.

The spelling of 9980475400 in words is "nine billion, nine hundred eighty million, four hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 140 175 200 236 280 295 350 413 472 590 700 826 1180 1400 1475 1652 2065 2360 2950 3304 4130 5900 8260 10325 11800 16520 20650 41300 82600 120829 241658 483316 604145 845803 966632 1208290 1691606 2416580 3020725 3383212 4229015 4833160 6041450 6766424 7128911 8458030 12082900 14257822 16916060 21145075 24165800 28515644 33832120 35644555 42290150 49902377 57031288 71289110 84580300 99804754 142578220 169160600 178222775 199609508 249511885 285156440 356445550 399219016 499023770 712891100 998047540 1247559425 1425782200 1996095080 2495118850 4990237700 9980475400