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1639889361 = 331129474051
BaseRepresentation
bin110000110111110…
…1011100111010001
311020021202000022000
41201233223213101
511324302424421
6430420304213
755431554355
oct14157534721
94207660260
101639889361
11771747170
12399242069
13201991146
14117b19465
1598e7d226
hex61beb9d1

1639889361 has 64 divisors (see below), whose sum is σ = 2800742400. Its totient is φ = 938952000.

The previous prime is 1639889311. The next prime is 1639889371.

1639889361 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1639889361 - 27 = 1639889233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1639889298 and 1639889307.

It is not an unprimeable number, because it can be changed into a prime (1639889311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402786 + ... + 406836.

It is an arithmetic number, because the mean of its divisors is an integer number (43761600).

Almost surely, 21639889361 is an apocalyptic number.

1639889361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1639889361 is a deficient number, since it is larger than the sum of its proper divisors (1160853039).

1639889361 is a wasteful number, since it uses less digits than its factorization.

1639889361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4141 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 1639889361 is about 40495.5474219080. The cubic root of 1639889361 is about 1179.2471883603.

The spelling of 1639889361 in words is "one billion, six hundred thirty-nine million, eight hundred eighty-nine thousand, three hundred sixty-one".

Divisors: 1 3 9 11 27 29 33 47 87 99 141 261 297 319 423 517 783 957 1269 1363 1551 2871 4051 4089 4653 8613 12153 12267 13959 14993 36459 36801 44561 44979 109377 117479 133683 134937 190397 352437 401049 404811 571191 1057311 1203147 1292269 1713573 2094367 3171933 3876807 5140719 5521513 6283101 11630421 16564539 18849303 34891263 49693617 56547909 60736643 149080851 182209929 546629787 1639889361