Search a number
-
+
9009606633696 = 2532231360145929
BaseRepresentation
bin1000001100011011011001…
…1001110010100011100000
31011220022100222101101100100
42003012312121302203200
52140103133244234241
631054542310022400
71616631310544544
oct203066631624340
934808328341310
109009606633696
112963a53079219
121016157047a00
135047aa21c126
142320d28cda24
15109561c869b6
hex831b66728e0

9009606633696 has 72 divisors (see below), whose sum is σ = 26735028400080. Its totient is φ = 2872628199936.

The previous prime is 9009606633631. The next prime is 9009606633707. The reversal of 9009606633696 is 6963366069009.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 680066341 + ... + 680079588.

It is an arithmetic number, because the mean of its divisors is an integer number (371319838890).

Almost surely, 29009606633696 is an apocalyptic number.

9009606633696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9009606633696 is an abundant number, since it is smaller than the sum of its proper divisors (17725421766384).

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

9009606633696 is a wasteful number, since it uses less digits than its factorization.

9009606633696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360145968 (or 1360145957 counting only the distinct ones).

The product of its (nonzero) digits is 51018336, while the sum is 63.

The spelling of 9009606633696 in words is "nine trillion, nine billion, six hundred six million, six hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 1360145929 2720291858 4080437787 5440583716 8160875574 10881167432 12241313361 16321751148 21762334864 24482626722 31283356367 32643502296 43524669728 48965253444 62566712734 65287004592 93850069101 97930506888 125133425468 130574009184 187700138202 195861013776 250266850936 281550207303 375400276404 391722027552 500533701872 563100414606 750800552808 1001067403744 1126200829212 1501601105616 2252401658424 3003202211232 4504803316848 9009606633696