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643710440448 = 21033179130069
BaseRepresentation
bin10010101111000000010…
…00011101010000000000
32021112112021202111102000
421113200020131100000
541021304333043243
61211414432424000
764335513315315
oct11274010352000
92245467674360
10643710440448
11228aa5842449
12a49093a8000
134891764a85a
142322754cd0c
1511b2747e5d3
hex95e021d400

643710440448 has 176 divisors, whose sum is σ = 1917023688000. Its totient is φ = 213369790464.

The previous prime is 643710440411. The next prime is 643710440519. The reversal of 643710440448 is 844044017346.

It is a happy number.

643710440448 is a `hidden beast` number, since 64 + 3 + 7 + 104 + 40 + 448 = 666.

It is a super-2 number, since 2×6437104404482 (a number of 24 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4883958 + ... + 5014026.

Almost surely, 2643710440448 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 643710440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958511844000).

643710440448 is an abundant number, since it is smaller than the sum of its proper divisors (1273313247552).

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

643710440448 is a wasteful number, since it uses less digits than its factorization.

643710440448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130277 (or 130253 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 643710440448 in words is "six hundred forty-three billion, seven hundred ten million, four hundred forty thousand, four hundred forty-eight".