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2533453104 = 243713619937
BaseRepresentation
bin1001011100000001…
…0110110100110000
320112120010202022110
42113000112310300
520142030444404
61055220405320
7116531665440
oct22700266460
96476122273
102533453104
1110900828a6
125a8546840
13314b430a0
141a067c120
15ec637b89
hex97016d30

2533453104 has 160 divisors (see below), whose sum is σ = 8076705280. Its totient is φ = 666372096.

The previous prime is 2533453093. The next prime is 2533453121. The reversal of 2533453104 is 4013543352.

It is an unprimeable number.

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, 2703324 + ... + 2704260.

It is an arithmetic number, because the mean of its divisors is an integer number (50479408).

Almost surely, 22533453104 is an apocalyptic number.

2533453104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2533453104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038352640).

2533453104 is an abundant number, since it is smaller than the sum of its proper divisors (5543252176).

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

2533453104 is a wasteful number, since it uses less digits than its factorization.

2533453104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2533453104 is about 50333.4193553349. The cubic root of 2533453104 is about 1363.2357181812.

Adding to 2533453104 its reverse (4013543352), we get a palindrome (6546996456).

The spelling of 2533453104 in words is "two billion, five hundred thirty-three million, four hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 619 624 728 937 1092 1238 1456 1857 1874 2184 2476 2811 3714 3748 4333 4368 4952 5622 6559 7428 7496 8047 8666 9904 11244 12181 12999 13118 14856 14992 16094 17332 19677 22488 24141 24362 25998 26236 29712 32188 34664 36543 39354 44976 48282 48724 51996 52472 56329 64376 69328 73086 78708 85267 96564 97448 103992 104944 112658 128752 146172 157416 168987 170534 193128 194896 207984 225316 255801 292344 314832 337974 341068 386256 450632 511602 580003 584688 675948 682136 901264 1023204 1160006 1351896 1364272 1740009 2046408 2320012 2703792 3480018 4060021 4092816 4640024 6960036 7540039 8120042 9280048 12180063 13920072 15080078 16240084 22620117 24360126 27840144 30160156 32480168 45240234 48720252 52780273 60320312 64960336 90480468 97440504 105560546 120640624 158340819 180960936 194881008 211121092 316681638 361921872 422242184 633363276 844484368 1266726552 2533453104