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28900341414810 = 23252574392846183
BaseRepresentation
bin1101001001000111000101…
…00101010111101110011010
310210022211211111001122211100
412210203202211113232122
512242000344400233220
6141244344503212230
76041660254551135
oct644434245275632
9123284744048740
1028900341414810
119232625331068
1232a90b5a47076
1313183a1302598
1471cad939721c
15351b6e2b7d90
hex1a48e2957b9a

28900341414810 has 96 divisors (see below), whose sum is σ = 75605120997120. Its totient is φ = 7659280687104.

The previous prime is 28900341414809. The next prime is 28900341414823. The reversal of 28900341414810 is 1841414300982.

28900341414810 is a `hidden beast` number, since 2 + 8 + 90 + 0 + 3 + 41 + 41 + 481 + 0 = 666.

It is a super-2 number, since 2×289003414148102 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8730979 + ... + 11577161.

It is an arithmetic number, because the mean of its divisors is an integer number (787553343720).

Almost surely, 228900341414810 is an apocalyptic number.

28900341414810 is an abundant number, since it is smaller than the sum of its proper divisors (46704779582310).

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

28900341414810 is a wasteful number, since it uses less digits than its factorization.

28900341414810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846892 (or 2846889 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28900341414810 in words is "twenty-eight trillion, nine hundred billion, three hundred forty-one million, four hundred fourteen thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 439 514 771 878 1285 1317 1542 2195 2313 2570 2634 3855 3951 4390 4626 6585 7710 7902 11565 13170 19755 23130 39510 112823 225646 338469 564115 676938 1015407 1128230 1692345 2030814 2846183 3384690 5077035 5692366 8538549 10154070 14230915 17077098 25615647 28461830 42692745 51231294 85385490 128078235 256156470 731469031 1249474337 1462938062 2194407093 2498948674 3657345155 3748423011 4388814186 6247371685 6583221279 7314690310 7496846022 10972035465 11245269033 12494743370 13166442558 18742115055 21944070930 22490538066 32916106395 37484230110 56226345165 65832212790 112452690330 321114904609 642229809218 963344713827 1605574523045 1926689427654 2890034141481 3211149046090 4816723569135 5780068282962 9633447138270 14450170707405 28900341414810