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8043148368 = 243510918979
BaseRepresentation
bin1110111110110100…
…01011010001010000
3202202112121021100000
413133122023101100
5112433021221433
63410040330000
7403213430103
oct73732132120
922675537300
108043148368
113458169462
121685773900
139b246c9b8
145642da73a
153211c0113
hex1df68b450

8043148368 has 120 divisors (see below), whose sum is σ = 23558735200. Its totient is φ = 2656312704.

The previous prime is 8043148327. The next prime is 8043148411. The reversal of 8043148368 is 8638413408.

8043148368 is a `hidden beast` number, since 80 + 4 + 31 + 483 + 68 = 666.

It is a super-2 number, since 2×80431483682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414303 + ... + 433281.

Almost surely, 28043148368 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 8043148368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779367600).

8043148368 is an abundant number, since it is smaller than the sum of its proper divisors (15515586832).

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

8043148368 is a wasteful number, since it uses less digits than its factorization.

8043148368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19111 (or 19093 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8043148368 is about 89683.6014441882. The cubic root of 8043148368 is about 2003.5892521147.

The spelling of 8043148368 in words is "eight billion, forty-three million, one hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 243 324 327 432 436 486 648 654 872 972 981 1296 1308 1744 1944 1962 2616 2943 3888 3924 5232 5886 7848 8829 11772 15696 17658 18979 23544 26487 35316 37958 47088 52974 56937 70632 75916 105948 113874 141264 151832 170811 211896 227748 303664 341622 423792 455496 512433 683244 910992 1024866 1366488 1537299 2049732 2068711 2732976 3074598 4099464 4137422 4611897 6149196 6206133 8198928 8274844 9223794 12298392 12412266 16549688 18447588 18618399 24596784 24824532 33099376 36895176 37236798 49649064 55855197 73790352 74473596 99298128 111710394 148947192 167565591 223420788 297894384 335131182 446841576 502696773 670262364 893683152 1005393546 1340524728 2010787092 2681049456 4021574184 8043148368