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9689761680096 = 253102563984127
BaseRepresentation
bin1000110100000001001011…
…0011011000101011100000
31021022022222011002200111210
42031000102303120223200
52232224112442230341
632335225353110120
72020030220212521
oct215002263305340
937268864080453
109689761680096
1130a644a947513
121105b356b8340
13553982159274
14256db634c848
1511c0bd9ecc16
hex8d012cd8ae0

9689761680096 has 48 divisors (see below), whose sum is σ = 25435898256384. Its totient is φ = 3229885785984.

The previous prime is 9689761680037. The next prime is 9689761680101. The reversal of 9689761680096 is 6900861679869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9353985 + ... + 10338111.

It is an arithmetic number, because the mean of its divisors is an integer number (529914547008).

Almost surely, 29689761680096 is an apocalyptic number.

9689761680096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9689761680096 is an abundant number, since it is smaller than the sum of its proper divisors (15746136576288).

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

9689761680096 is a wasteful number, since it uses less digits than its factorization.

9689761680096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086703 (or 1086695 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 75.

The spelling of 9689761680096 in words is "nine trillion, six hundred eighty-nine billion, seven hundred sixty-one million, six hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 102563 205126 307689 410252 615378 820504 984127 1230756 1641008 1968254 2461512 2952381 3282016 3936508 4923024 5904762 7873016 9846048 11809524 15746032 23619048 31492064 47238096 94476192 100935017501 201870035002 302805052503 403740070004 605610105006 807480140008 1211220210012 1614960280016 2422440420024 3229920560032 4844880840048 9689761680096