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42832549680 = 2435199393103
BaseRepresentation
bin100111111001000001…
…001101011100110000
311002120001222222011220
4213321001031130300
51200210113042210
631402122105040
73044300444064
oct477101153460
9132501888156
1042832549680
111718a948598
12837464b180
134067b6816b
142104865aa4
1511aa500c70
hex9f904d730

42832549680 has 80 divisors (see below), whose sum is σ = 139769387520. Its totient is φ = 10820853504.

The previous prime is 42832549663. The next prime is 42832549693. The reversal of 42832549680 is 8694523824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 4691992 + ... + 4701111.

It is an arithmetic number, because the mean of its divisors is an integer number (1747117344).

Almost surely, 242832549680 is an apocalyptic number.

42832549680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42832549680 is an abundant number, since it is smaller than the sum of its proper divisors (96936837840).

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

42832549680 is a wasteful number, since it uses less digits than its factorization.

42832549680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9393138 (or 9393132 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 42832549680 in words is "forty-two billion, eight hundred thirty-two million, five hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 9393103 18786206 28179309 37572412 46965515 56358618 75144824 93931030 112717236 140896545 150289648 178468957 187862060 225434472 281793090 356937914 375724120 450868944 535406871 563586180 713875828 751448240 892344785 1070813742 1127172360 1427751656 1784689570 2141627484 2254344720 2677034355 2855503312 3569379140 4283254968 5354068710 7138758280 8566509936 10708137420 14277516560 21416274840 42832549680