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641628873072 = 243411196773499
BaseRepresentation
bin10010101011001000000…
…11111010000101110000
32021100011012220220210000
421111210003322011300
541003023442414242
61210432113310000
764233106301625
oct11254403720560
92240135826700
10641628873072
11228127854030
12a4428265300
1348675314895
14230aad0034c
1511a54858a4c
hex95640fa170

641628873072 has 400 divisors, whose sum is σ = 2136269520000. Its totient is φ = 183875028480.

The previous prime is 641628873071. The next prime is 641628873089. The reversal of 641628873072 is 270378826146.

641628873072 is a `hidden beast` number, since 6 + 4 + 1 + 628 + 8 + 7 + 3 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×6416288730722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641628873071) 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 79 ways as a sum of consecutive naturals, for example, 183373179 + ... + 183376677.

It is an arithmetic number, because the mean of its divisors is an integer number (5340673800).

Almost surely, 2641628873072 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 641628873072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068134760000).

641628873072 is an abundant number, since it is smaller than the sum of its proper divisors (1494640646928).

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

641628873072 is a wasteful number, since it uses less digits than its factorization.

641628873072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 641628873072 in words is "six hundred forty-one billion, six hundred twenty-eight million, eight hundred seventy-three thousand, seventy-two".