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643640067040 = 2554022750419
BaseRepresentation
bin10010101110110111111…
…00000000001111100000
32021112100101100011020111
421113123330000033200
541021133324121130
61211403440221104
764334000205115
oct11273374001740
92245311304214
10643640067040
11228a6a046903
12a48a990a794
1348905bab099
142321c07090c
1511b211cd02a
hex95dbf003e0

643640067040 has 24 divisors (see below), whose sum is σ = 1520599658760. Its totient is φ = 257456026752.

The previous prime is 643640067013. The next prime is 643640067067. The reversal of 643640067040 is 40760046346.

It is an interprime number because it is at equal distance from previous prime (643640067013) and next prime (643640067067).

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 = 643640066984 and 643640067002.

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 3 ways as a sum of consecutive naturals, for example, 2011375050 + ... + 2011375369.

It is an arithmetic number, because the mean of its divisors is an integer number (63358319115).

Almost surely, 2643640067040 is an apocalyptic number.

It is an amenable number.

643640067040 is an abundant number, since it is smaller than the sum of its proper divisors (876959591720).

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

643640067040 is a wasteful number, since it uses less digits than its factorization.

643640067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022750434 (or 4022750426 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 643640067040 in words is "six hundred forty-three billion, six hundred forty million, sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4022750419 8045500838 16091001676 20113752095 32182003352 40227504190 64364006704 80455008380 128728013408 160910016760 321820033520 643640067040