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84642062440 = 23513162773197
BaseRepresentation
bin100111011010100001…
…1110110000001101000
322002110211222021112111
41032311003312001220
52341321331444230
6102514541052104
76054336442225
oct1166503660150
9262424867474
1084642062440
1132995268321
12144a2557034
137c9ba8b620
14414d4a494c
152305cbe92a
hex13b50f6068

84642062440 has 32 divisors (see below), whose sum is σ = 205094229480. Its totient is φ = 31252453632.

The previous prime is 84642062419. The next prime is 84642062443. The reversal of 84642062440 is 4426024648.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77040663844 + 7601398596 = 277562^2 + 87186^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 84642062393 and 84642062402.

It is not an unprimeable number, because it can be changed into a prime (84642062443) 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, 81386079 + ... + 81387118.

Almost surely, 284642062440 is an apocalyptic number.

It is an amenable number.

84642062440 is an abundant number, since it is smaller than the sum of its proper divisors (120452167040).

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

84642062440 is a wasteful number, since it uses less digits than its factorization.

84642062440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162773221 (or 162773217 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 84642062440 in words is "eighty-four billion, six hundred forty-two million, sixty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 162773197 325546394 651092788 813865985 1302185576 1627731970 2116051561 3255463940 4232103122 6510927880 8464206244 10580257805 16928412488 21160515610 42321031220 84642062440