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6141924888 = 23311891731511
BaseRepresentation
bin1011011100001011…
…00101011000011000
3120212001010010000120
411232011211120120
5100034313044023
62453242433240
7305126333361
oct55605453030
916761103016
106141924888
112671a58090
121234b02820
1376b5cb2a8
144239d4b68
1525e31e8e3
hex16e165618

6141924888 has 128 divisors (see below), whose sum is σ = 17048102400. Its totient is φ = 1828428800.

The previous prime is 6141924881. The next prime is 6141924889. The reversal of 6141924888 is 8884291416.

It is a self number, because there is not a number n which added to its sum of digits gives 6141924888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141924881) 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, 4064053 + ... + 4065563.

It is an arithmetic number, because the mean of its divisors is an integer number (133188300).

Almost surely, 26141924888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141924888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524051200).

6141924888 is an abundant number, since it is smaller than the sum of its proper divisors (10906177512).

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

6141924888 is a wasteful number, since it uses less digits than its factorization.

6141924888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1789 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 6141924888 is about 78370.4337617191. The cubic root of 6141924888 is about 1831.3365660593.

The spelling of 6141924888 in words is "six billion, one hundred forty-one million, nine hundred twenty-four thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 173 178 264 267 346 356 519 534 692 712 979 1038 1068 1384 1511 1903 1958 2076 2136 2937 3022 3806 3916 4152 4533 5709 5874 6044 7612 7832 9066 11418 11748 12088 15224 15397 16621 18132 22836 23496 30794 33242 36264 45672 46191 49863 61588 66484 92382 99726 123176 132968 134479 169367 184764 199452 261403 268958 338734 369528 398904 403437 508101 522806 537916 677468 784209 806874 1016202 1045612 1075832 1354936 1479269 1568418 1613748 2032404 2091224 2875433 2958538 3136836 3227496 4064808 4437807 5750866 5917076 6273672 8626299 8875614 11501732 11834152 17252598 17751228 23003464 23264867 34505196 35502456 46529734 69010392 69794601 93059468 139589202 186118936 255913537 279178404 511827074 558356808 767740611 1023654148 1535481222 2047308296 3070962444 6141924888