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640467689472 = 213351324749
BaseRepresentation
bin10010101000111101101…
…10010110000000000000
32021020011021221200100000
421110132312112000000
540443134212030342
61210120553200000
764162246351662
oct11243666260000
92236137850300
10640467689472
1122769134a666
12a4163400000
134851b8912b0
1422dda9d6532
15119d793944c
hex951ed96000

640467689472 has 336 divisors, whose sum is σ = 2066322258000. Its totient is φ = 197059018752.

The previous prime is 640467689429. The next prime is 640467689479. The reversal of 640467689472 is 274986764046.

640467689472 is a `hidden beast` number, since 6 + 40 + 4 + 67 + 68 + 9 + 472 = 666.

It is a super-2 number, since 2×6404676894722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640467689479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25866154 + ... + 25890902.

It is an arithmetic number, because the mean of its divisors is an integer number (6149768625).

Almost surely, 2640467689472 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 640467689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033161129000).

640467689472 is an abundant number, since it is smaller than the sum of its proper divisors (1425854568528).

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

640467689472 is an equidigital number, since it uses as much as digits as its factorization.

640467689472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24803 (or 24767 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 640467689472 in words is "six hundred forty billion, four hundred sixty-seven million, six hundred eighty-nine thousand, four hundred seventy-two".