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5534124240 = 2435174133083
BaseRepresentation
bin1010010011101110…
…00000100011010000
3112021200102122021110
411021313000203100
542313213433430
62313051253320
7254066165001
oct51167004320
915250378243
105534124240
11238a9614a7
1210a544a240
136a2700c38
143a6dbb1a8
15225cb07b0
hex149dc08d0

5534124240 has 160 divisors (see below), whose sum is σ = 18608558976. Its totient is φ = 1355038720.

The previous prime is 5534124229. The next prime is 5534124241. The reversal of 5534124240 is 424214355.

It is a super-2 number, since 2×55341242402 = 61253062207511155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5534124198 and 5534124207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5534124241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150739 + ... + 183821.

Almost surely, 25534124240 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 5534124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9304279488).

5534124240 is an abundant number, since it is smaller than the sum of its proper divisors (13074434736).

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

5534124240 is a wasteful number, since it uses less digits than its factorization.

5534124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33157 (or 33151 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5534124240 is about 74391.6946977282. The cubic root of 5534124240 is about 1768.8172634170.

Adding to 5534124240 its reverse (424214355), we get a palindrome (5958338595).

The spelling of 5534124240 in words is "five billion, five hundred thirty-four million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 41 48 51 60 68 80 82 85 102 120 123 136 164 170 204 205 240 246 255 272 328 340 408 410 492 510 615 656 680 697 816 820 984 1020 1230 1360 1394 1640 1968 2040 2091 2460 2788 3280 3485 4080 4182 4920 5576 6970 8364 9840 10455 11152 13940 16728 20910 27880 33083 33456 41820 55760 66166 83640 99249 132332 165415 167280 198498 264664 330830 396996 496245 529328 562411 661660 793992 992490 1124822 1323320 1356403 1587984 1687233 1984980 2249644 2646640 2712806 2812055 3374466 3969960 4069209 4499288 5425612 5624110 6748932 6782015 7939920 8138418 8436165 8998576 10851224 11248220 13497864 13564030 16276836 16872330 20346045 21702448 22496440 23058851 26995728 27128060 32553672 33744660 40692090 44992880 46117702 54256120 65107344 67489320 69176553 81384180 92235404 108512240 115294255 134978640 138353106 162768360 184470808 230588510 276706212 325536720 345882765 368941616 461177020 553412424 691765530 922354040 1106824848 1383531060 1844708080 2767062120 5534124240