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84432006640 = 2455917888137
BaseRepresentation
bin100111010100010001…
…0100010110111110000
322001221012201100011001
41032220202202313300
52340404043203030
6102442034531344
76046206133522
oct1165042426760
9261835640131
1084432006640
1132897737293
1214444136b54
137c673c3257
14412d625a12
1522e262acca
hex13a88a2df0

84432006640 has 40 divisors (see below), whose sum is σ = 199631620080. Its totient is φ = 33200380416.

The previous prime is 84432006619. The next prime is 84432006647. The reversal of 84432006640 is 4660023448.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 84432006640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84432006647) by changing a digit.

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, 8939349 + ... + 8948788.

It is an arithmetic number, because the mean of its divisors is an integer number (4990790502).

Almost surely, 284432006640 is an apocalyptic number.

84432006640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84432006640 is an abundant number, since it is smaller than the sum of its proper divisors (115199613440).

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

84432006640 is a wasteful number, since it uses less digits than its factorization.

84432006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17888209 (or 17888203 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 84432006640 in words is "eighty-four billion, four hundred thirty-two million, six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 17888137 35776274 71552548 89440685 143105096 178881370 286210192 357762740 715525480 1055400083 1431050960 2110800166 4221600332 5277000415 8443200664 10554000830 16886401328 21108001660 42216003320 84432006640