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28018347351696 = 2432132339312
BaseRepresentation
bin1100101111011100001111…
…01001000001111010010000
310200012112020210121221111100
412113232013221001322100
512133023033410223241
6135331241233344400
75621154523660332
oct627560751017220
9120175223557440
1028018347351696
118a22572709149
123186187a08100
131283171075100
146cc149505452
15338c4c9189b6
hex197b87a41e90

28018347351696 has 135 divisors (see below), whose sum is σ = 84910667262057. Its totient is φ = 8620775879040.

The previous prime is 28018347351641. The next prime is 28018347351707. The reversal of 28018347351696 is 69615374381082.

The square root of 28018347351696 is 5293236.

It is a perfect power (a square), and thus also a powerful number.

28018347351696 is a `hidden beast` number, since 2 + 8 + 0 + 18 + 34 + 73 + 516 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4144725939600 + 23873621412096 = 2035860^2 + 4886064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 825727851 + ... + 825761781.

It is a 1-persistent number, because it is pandigital, but 2⋅28018347351696 = 56036694703392 is not.

Almost surely, 228018347351696 is an apocalyptic number.

28018347351696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

28018347351696 is the 5293236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28018347351696

28018347351696 is an abundant number, since it is smaller than the sum of its proper divisors (56892319910361).

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

28018347351696 is an frugal number, since it uses more digits than its factorization.

28018347351696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67902 (or 33949 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 28018347351696 in words is "twenty-eight trillion, eighteen billion, three hundred forty-seven million, three hundred fifty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 33931 67862 101793 135724 203586 271448 305379 407172 441103 542896 610758 814344 882206 1221516 1323309 1628688 1764412 2443032 2646618 3528824 3969927 4886064 5293236 5734339 7057648 7939854 10586472 11468678 15879708 17203017 21172944 22937356 31759416 34406034 45874712 51609051 63518832 68812068 91749424 103218102 137624136 206436204 275248272 412872408 825744816 1151312761 2302625522 3453938283 4605251044 6907876566 9210502088 10361814849 13815753132 14967065893 18421004176 20723629698 27631506264 29934131786 41447259396 44901197679 55263012528 59868263572 82894518792 89802395358 119736527144 134703593037 165789037584 179604790716 194571856609 239473054288 269407186074 359209581432 389143713218 538814372148 583715569827 718419162864 778287426436 1077628744296 1167431139654 1556574852872 1751146709481 2155257488592 2334862279308 3113149705744 3502293418962 4669724558616 7004586837924 9339449117232 14009173675848 28018347351696