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642096819 = 327132389383
BaseRepresentation
bin100110010001011…
…001111010110011
31122202012220020200
4212101121322303
52303334044234
6143414210243
721624506250
oct4621317263
91582186220
10642096819
112aa4a0931
1215b053983
13a3047960
14613c4427
153b585d99
hex26459eb3

642096819 has 96 divisors (see below), whose sum is σ = 1207664640. Its totient is φ = 319486464.

The previous prime is 642096761. The next prime is 642096821. The reversal of 642096819 is 918690246.

It is a happy number.

It is not a de Polignac number, because 642096819 - 27 = 642096691 is a prime.

It is a super-2 number, since 2×6420968192 = 824576649939837522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (642096869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1676302 + ... + 1676684.

It is an arithmetic number, because the mean of its divisors is an integer number (12579840).

Almost surely, 2642096819 is an apocalyptic number.

642096819 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

642096819 is a deficient number, since it is larger than the sum of its proper divisors (565567821).

642096819 is a wasteful number, since it uses less digits than its factorization.

642096819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 642096819 is about 25339.6294171797. The cubic root of 642096819 is about 862.7139874847.

It can be divided in two parts, 642096 and 819, that multiplied together give a square (525876624 = 229322).

The spelling of 642096819 in words is "six hundred forty-two million, ninety-six thousand, eight hundred nineteen".

Divisors: 1 3 7 9 13 21 23 39 63 69 89 91 117 161 207 267 273 299 383 483 623 801 819 897 1149 1157 1449 1869 2047 2093 2681 2691 3447 3471 4979 5607 6141 6279 8043 8099 8809 10413 14329 14937 18423 18837 24129 24297 26427 26611 34087 34853 42987 44811 61663 72891 79281 79833 102261 104559 114517 128961 184989 186277 238609 239499 306783 313677 343551 443131 554967 558831 715827 784001 801619 1030653 1329393 1676493 2147481 2352003 2404857 3101917 3988179 5488007 7056009 7214571 9305751 10192013 16464021 27917253 30576039 49392063 71344091 91728117 214032273 642096819