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28251163536 = 24319312234481
BaseRepresentation
bin11010010011111001…
…101000101110010000
32200220212112210202020
4122103321220232100
5430324244213121
620551200251440
72020042633161
oct322371505620
980825483666
1028251163536
1110a88055342
125585310b80
132882c79c1b
14152008d768
15b0532a1c6
hex693e68b90

28251163536 has 160 divisors (see below), whose sum is σ = 79674900480. Its totient is φ = 8592998400.

The previous prime is 28251163531. The next prime is 28251163553. The reversal of 28251163536 is 63536115282.

It is a super-2 number, since 2×282511635362 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28251163531) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6302416 + ... + 6306896.

It is an arithmetic number, because the mean of its divisors is an integer number (497968128).

Almost surely, 228251163536 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 28251163536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39837450240).

28251163536 is an abundant number, since it is smaller than the sum of its proper divisors (51423736944).

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

28251163536 is a wasteful number, since it uses less digits than its factorization.

28251163536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4759 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 28251163536 in words is "twenty-eight billion, two hundred fifty-one million, one hundred sixty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 223 228 248 304 372 446 456 496 589 669 744 892 912 1178 1338 1488 1767 1784 2356 2676 3534 3568 4237 4481 4712 5352 6913 7068 8474 8962 9424 10704 12711 13443 13826 14136 16948 17924 20739 25422 26886 27652 28272 33896 35848 41478 50844 53772 55304 67792 71696 82956 85139 101688 107544 110608 131347 138911 165912 170278 203376 215088 255417 262694 277822 331824 340556 394041 416733 510834 525388 555644 681112 788082 833466 999263 1021668 1050776 1111288 1362224 1576164 1666932 1998526 2043336 2101552 2222576 2639309 2997789 3152328 3333864 3997052 4086672 5278618 5995578 6304656 6667728 7917927 7994104 10557236 11991156 15835854 15988208 18985997 21114472 23982312 30977153 31671708 37971994 42228944 47964624 56957991 61954306 63343416 75943988 92931459 113915982 123908612 126686832 151887976 185862918 227831964 247817224 303775952 371725836 455663928 495634448 588565907 743451672 911327856 1177131814 1486903344 1765697721 2354263628 3531395442 4708527256 7062790884 9417054512 14125581768 28251163536