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9960040002 = 23111710782963
BaseRepresentation
bin10010100011010101…
…00010011001000010
3221201010120110022110
421101222202121002
5130344232240002
64324154120150
7501550641333
oct112152423102
927633513273
109960040002
114251201520
121b1b720056
13c29638bc3
146a6b2028a
153d4617e6c
hex251aa2642

9960040002 has 64 divisors (see below), whose sum is σ = 23224610304. Its totient is φ = 2814071040.

The previous prime is 9960040001. The next prime is 9960040021. The reversal of 9960040002 is 2000400699.

It is not an unprimeable number, because it can be changed into a prime (9960040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78573 + ... + 161535.

It is an arithmetic number, because the mean of its divisors is an integer number (362884536).

Almost surely, 29960040002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9960040002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612305152).

9960040002 is an abundant number, since it is smaller than the sum of its proper divisors (13264570302).

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

9960040002 is a wasteful number, since it uses less digits than its factorization.

9960040002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83103.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 9960040002 is about 99800.0000100200. Note that the first 4 decimals coincide. The cubic root of 9960040002 is about 2151.5611522105.

The spelling of 9960040002 in words is "nine billion, nine hundred sixty million, forty thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 107 187 214 321 374 561 642 1122 1177 1819 2354 3531 3638 5457 7062 10914 20009 40018 60027 82963 120054 165926 248889 497778 912593 1410371 1825186 2737779 2820742 4231113 5475558 8462226 8877041 15514081 17754082 26631123 31028162 46542243 53262246 93084486 97647451 150909697 195294902 292942353 301819394 452729091 585884706 905458182 1660006667 3320013334 4980020001 9960040002