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840432945632 = 257317193743149
BaseRepresentation
bin11000011101011011011…
…01010000100111100000
32222100022012212012020112
430032231231100213200
5102232201313230012
61442031202430452
7114501466112000
oct14165555204740
92870265765215
10840432945632
112a4475540245
12116a6b362428
1361338937187
142c96a232000
1516cdcce9122
hexc3adb509e0

840432945632 has 768 divisors, whose sum is σ = 2275257600000. Its totient is φ = 303160983552.

The previous prime is 840432945601. The next prime is 840432945661. The reversal of 840432945632 is 236549234048.

It is a happy number.

It is a super-2 number, since 2×8404329456322 (a number of 25 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 5640489494 + ... + 5640489642.

It is an arithmetic number, because the mean of its divisors is an integer number (2962575000).

Almost surely, 2840432945632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840432945632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137628800000).

840432945632 is an abundant number, since it is smaller than the sum of its proper divisors (1434824654368).

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

840432945632 is a wasteful number, since it uses less digits than its factorization.

840432945632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 50.

The spelling of 840432945632 in words is "eight hundred forty billion, four hundred thirty-two million, nine hundred forty-five thousand, six hundred thirty-two".