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28397935144458 = 232112814651109741
BaseRepresentation
bin1100111010011111010001…
…10101100010111000001010
310201112211000221000202012200
412131033220311202320022
512210232432344110313
6140221455321221030
75660453206661145
oct635175065427012
9121484027022180
1028397935144458
119059551069090
123227863031776
1312acbb57b1ac9
1470267876105c
15343a672c0b73
hex19d3e8d62e0a

28397935144458 has 96 divisors (see below), whose sum is σ = 67376359013184. Its totient is φ = 8572888800000.

The previous prime is 28397935144387. The next prime is 28397935144591. The reversal of 28397935144458 is 85444153979382.

28397935144458 is a `hidden beast` number, since 2 + 8 + 3 + 97 + 93 + 5 + 1 + 4 + 445 + 8 = 666.

It is a super-2 number, since 2×283979351444582 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258717468 + ... + 258827208.

It is an arithmetic number, because the mean of its divisors is an integer number (701837073054).

Almost surely, 228397935144458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28397935144458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33688179506592).

28397935144458 is an abundant number, since it is smaller than the sum of its proper divisors (38978423868726).

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

28397935144458 is a wasteful number, since it uses less digits than its factorization.

28397935144458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114692 (or 114689 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 28397935144458 in words is "twenty-eight trillion, three hundred ninety-seven billion, nine hundred thirty-five million, one hundred forty-four thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 281 562 843 1686 2529 3091 4651 5058 6182 9273 9302 13953 18546 27819 27906 41859 51161 55638 83718 102322 109741 153483 219482 306966 329223 460449 658446 920898 987669 1207151 1306931 1975338 2414302 2613862 3621453 3920793 7242906 7841586 10864359 11762379 14376241 21728718 23524758 28752482 30837221 43128723 61674442 86257446 92511663 129386169 185023326 258772338 277534989 339209431 510405391 555069978 678418862 1017628293 1020810782 1531216173 2035256586 3052884879 3062432346 4593648519 5614459301 6105769758 9187297038 11228918602 16843377903 33686755806 50530133709 101060267418 143423914871 286847829742 430271744613 860543489226 1290815233839 1577663063581 2581630467678 3155326127162 4732989190743 9465978381486 14198967572229 28397935144458