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642131340640 = 2554399141961
BaseRepresentation
bin10010101100000100000…
…00101010110101100000
32021101110020101220200221
421112002000222311200
541010041110400030
61210554023052424
764251420223636
oct11260200526540
92241406356627
10642131340640
11228365446389
12a45485a1114
1348725451b7a
1423117939356
1511a83a0ce7a
hex958202ad60

642131340640 has 48 divisors (see below), whose sum is σ = 1520491119840. Its totient is φ = 256267422720.

The previous prime is 642131340607. The next prime is 642131340647. The reversal of 642131340640 is 46043131246.

It is a junction number, because it is equal to n+sod(n) for n = 642131340596 and 642131340605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642131340647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4500741 + ... + 4641220.

It is an arithmetic number, because the mean of its divisors is an integer number (31676898330).

Almost surely, 2642131340640 is an apocalyptic number.

It is an amenable number.

642131340640 is an abundant number, since it is smaller than the sum of its proper divisors (878359779200).

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

642131340640 is a wasteful number, since it uses less digits than its factorization.

642131340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9142415 (or 9142407 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 642131340640 its reverse (46043131246), we get a palindrome (688174471886).

The spelling of 642131340640 in words is "six hundred forty-two billion, one hundred thirty-one million, three hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 439 878 1756 2195 3512 4390 7024 8780 14048 17560 35120 70240 9141961 18283922 36567844 45709805 73135688 91419610 146271376 182839220 292542752 365678440 731356880 1462713760 4013320879 8026641758 16053283516 20066604395 32106567032 40133208790 64213134064 80266417580 128426268128 160532835160 321065670320 642131340640