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642555001 = 111729472521
BaseRepresentation
bin100110010011001…
…001110001111001
31122210002011202101
4212103021301321
52303443230001
6143432103401
721631425124
oct4623116171
91583064671
10642555001
112aa7840a0
1215b234b61
13a317837a
14614a33bb
153b626a01
hex264c9c79

642555001 has 32 divisors (see below), whose sum is σ = 784442880. Its totient is φ = 519321600.

The previous prime is 642554989. The next prime is 642555007. The reversal of 642555001 is 100555246.

642555001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 642555001 - 27 = 642554873 is a prime.

It is a super-2 number, since 2×6425550012 = 825753858620220002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642555007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253621 + ... + 256141.

It is an arithmetic number, because the mean of its divisors is an integer number (24513840).

Almost surely, 2642555001 is an apocalyptic number.

It is an amenable number.

642555001 is a deficient number, since it is larger than the sum of its proper divisors (141887879).

642555001 is a wasteful number, since it uses less digits than its factorization.

642555001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625.

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 642555001 is about 25348.6686238153. The cubic root of 642555001 is about 862.9191414042.

The spelling of 642555001 in words is "six hundred forty-two million, five hundred fifty-five thousand, one".

Divisors: 1 11 17 29 47 187 319 493 517 799 1363 2521 5423 8789 14993 23171 27731 42857 73109 118487 254881 471427 804199 1242853 1303357 2014279 3436123 13671383 22157069 37797353 58414091 642555001