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6141799248 = 24313191274079
BaseRepresentation
bin1011011100001010…
…00110101101010000
3120212000212201200020
411232011012231100
5100034300033443
62453240023440
7305125301154
oct55605065520
916760781606
106141799248
112671981752
121234a61b80
1376b586050
144239a1064
1525e2e7583
hex16e146b50

6141799248 has 160 divisors (see below), whose sum is σ = 18132172800. Its totient is φ = 1775789568.

The previous prime is 6141799211. The next prime is 6141799277. The reversal of 6141799248 is 8429971416.

It is a self number, because there is not a number n which added to its sum of digits gives 6141799248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1503673 + ... + 1507751.

It is an arithmetic number, because the mean of its divisors is an integer number (113326080).

Almost surely, 26141799248 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 6141799248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066086400).

6141799248 is an abundant number, since it is smaller than the sum of its proper divisors (11990373552).

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

6141799248 is a wasteful number, since it uses less digits than its factorization.

6141799248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4243 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 6141799248 is about 78369.6321798182. The cubic root of 6141799248 is about 1831.3240786226.

The spelling of 6141799248 in words is "six billion, one hundred forty-one million, seven hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 127 152 156 208 228 247 254 304 312 381 456 494 508 624 741 762 912 988 1016 1482 1524 1651 1976 2032 2413 2964 3048 3302 3952 4079 4826 4953 5928 6096 6604 7239 8158 9652 9906 11856 12237 13208 14478 16316 19304 19812 24474 26416 28956 31369 32632 38608 39624 48948 53027 57912 62738 65264 77501 79248 94107 97896 106054 115824 125476 155002 159081 188214 195792 212108 232503 250952 310004 318162 376428 424216 465006 501904 518033 620008 636324 752856 848432 930012 1007513 1036066 1240016 1272648 1505712 1554099 1860024 2015026 2072132 2545296 3022539 3108198 3720048 4030052 4144264 6045078 6216396 6734429 8060104 8288528 9842627 12090156 12432792 13468858 16120208 19685254 20203287 24180312 24865584 26937716 29527881 39370508 40406574 48360624 53875432 59055762 78741016 80813148 107750864 118111524 127954151 157482032 161626296 236223048 255908302 323252592 383862453 472446096 511816604 767724906 1023633208 1535449812 2047266416 3070899624 6141799248