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9999970000 = 24547571321
BaseRepresentation
bin10010101000000101…
…10110111011010000
3221210220201002222021
421110002312323100
5130434443020000
64332142021224
7502544225326
oct112402667320
927726632867
109999970000
1142717a4519
121b30b77814
13c349a9917
146ac155d16
153d7da411a
hex2540b6ed0

9999970000 has 100 divisors (see below), whose sum is σ = 24261262036. Its totient is φ = 3991680000.

The previous prime is 9999969949. The next prime is 9999970007. The reversal of 9999970000 is 799999.

It can be written as a sum of positive squares in 10 ways, for example, as 4696635024 + 5303334976 = 68532^2 + 72824^2 .

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

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 9999970000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999970007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7569340 + ... + 7570660.

Almost surely, 29999970000 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 9999970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130631018).

9999970000 is an abundant number, since it is smaller than the sum of its proper divisors (14261292036).

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

9999970000 is a wasteful number, since it uses less digits than its factorization.

9999970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 413343, while the sum is 52.

The square root of 9999970000 is about 99999.8499998875. The cubic root of 9999970000 is about 2154.4325355950.

The spelling of 9999970000 in words is "nine billion, nine hundred ninety-nine million, nine hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 757 1000 1250 1321 1514 2000 2500 2642 3028 3785 5000 5284 6056 6605 7570 10000 10568 12112 13210 15140 18925 21136 26420 30280 33025 37850 52840 60560 66050 75700 94625 105680 132100 151400 165125 189250 264200 302800 330250 378500 473125 528400 660500 757000 825625 946250 999997 1321000 1514000 1651250 1892500 1999994 2642000 3302500 3785000 3999988 4999985 6605000 7570000 7999976 9999970 13210000 15999952 19999940 24999925 39999880 49999850 79999760 99999700 124999625 199999400 249999250 399998800 499998500 624998125 999997000 1249996250 1999994000 2499992500 4999985000 9999970000