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6139889316 = 2233119753281
BaseRepresentation
bin1011011011111011…
…10100011010100100
3120211220021200202000
411231331310122210
5100033302424231
62453131045300
7305103124641
oct55575643244
916756250660
106139889316
1126708977a0
1212342a0830
1376b067902
14423624dc8
1525e06b6e6
hex16df746a4

6139889316 has 96 divisors (see below), whose sum is σ = 17544696960. Its totient is φ = 1841356800.

The previous prime is 6139889299. The next prime is 6139889323.

6139889316 is a `hidden beast` number, since 613 + 9 + 8 + 8 + 9 + 3 + 16 = 666.

6139889316 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88596 + ... + 141876.

It is an arithmetic number, because the mean of its divisors is an integer number (182757260).

Almost surely, 26139889316 is an apocalyptic number.

6139889316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6139889316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772348480).

6139889316 is an abundant number, since it is smaller than the sum of its proper divisors (11404807644).

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

6139889316 is a wasteful number, since it uses less digits than its factorization.

6139889316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53402 (or 53394 counting only the distinct ones).

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

The square root of 6139889316 is about 78357.4458236102. The cubic root of 6139889316 is about 1831.1342283336.

The spelling of 6139889316 in words is "six billion, one hundred thirty-nine million, eight hundred eighty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 97 99 108 132 194 198 291 297 388 396 582 594 873 1067 1164 1188 1746 2134 2619 3201 3492 4268 5238 6402 9603 10476 12804 19206 28809 38412 53281 57618 106562 115236 159843 213124 319686 479529 586091 639372 959058 1172182 1438587 1758273 1918116 2344364 2877174 3516546 5168257 5274819 5754348 7033092 10336514 10549638 15504771 15824457 20673028 21099276 31009542 31648914 46514313 56850827 62019084 63297828 93028626 113701654 139542939 170552481 186057252 227403308 279085878 341104962 511657443 558171756 682209924 1023314886 1534972329 2046629772 3069944658 6139889316