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642580071 = 3724371293
BaseRepresentation
bin100110010011001…
…111111001100111
31122210010110010220
4212103033321213
52304000030241
6143432415423
721631561200
oct4623177147
91583113126
10642580071
112aa7a0a11
1215b247573
13a31868c3
14614ac5a7
153b62e166
hex264cfe67

642580071 has 12 divisors (see below), whose sum is σ = 996655032. Its totient is φ = 367188528.

The previous prime is 642580069. The next prime is 642580123. The reversal of 642580071 is 170085246.

It is not a de Polignac number, because 642580071 - 21 = 642580069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642580051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2185500 + ... + 2185793.

It is an arithmetic number, because the mean of its divisors is an integer number (83054586).

Almost surely, 2642580071 is an apocalyptic number.

642580071 is a deficient number, since it is larger than the sum of its proper divisors (354074961).

642580071 is a wasteful number, since it uses less digits than its factorization.

642580071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371310 (or 4371303 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 642580071 is about 25349.1631222808. The cubic root of 642580071 is about 862.9303638425.

The spelling of 642580071 in words is "six hundred forty-two million, five hundred eighty thousand, seventy-one".

Divisors: 1 3 7 21 49 147 4371293 13113879 30599051 91797153 214193357 642580071