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8120532996 = 22322326532
BaseRepresentation
bin1111001000000010…
…11000000000000100
3202221221012211002100
413210001120000010
5113112324023441
63421443112100
7405143251212
oct74401300004
922857184070
108120532996
1134979136a4
1216a7672630
139c54c5814
145706c1cb2
15327da8cb6
hex1e4058004

8120532996 has 81 divisors (see below), whose sum is σ = 21491091349. Its totient is φ = 2585190432.

The previous prime is 8120532989. The next prime is 8120532997. The reversal of 8120532996 is 6992350218.

The square root of 8120532996 is 90114.

It is a perfect power (a square), and thus also a powerful number.

8120532996 is a `hidden beast` number, since 8 + 1 + 20 + 532 + 9 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1889640900 + 6230892096 = 43470^2 + 78936^2 .

It is a super-2 number, since 2×81205329962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8120532997) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12435406 + ... + 12436058.

Almost surely, 28120532996 is an apocalyptic number.

8120532996 is the 90114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8120532996

8120532996 is an abundant number, since it is smaller than the sum of its proper divisors (13370558353).

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

8120532996 is a wasteful number, since it uses less digits than its factorization.

8120532996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 8120532996 is about 2009.9943892321.

The spelling of 8120532996 in words is "eight billion, one hundred twenty million, five hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 653 828 1058 1306 1587 1959 2116 2612 3174 3918 4761 5877 6348 7836 9522 11754 15019 19044 23508 30038 45057 60076 90114 135171 180228 270342 345437 426409 540684 690874 852818 1036311 1279227 1381748 1705636 2072622 2558454 3108933 3837681 4145244 5116908 6217866 7675362 9807407 12435732 15350724 19614814 29422221 39229628 58844442 88266663 117688884 176533326 225570361 353066652 451140722 676711083 902281444 1353422166 2030133249 2706844332 4060266498 8120532996