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243203245520 = 24515171928001
BaseRepresentation
bin1110001010000000001…
…0110000010111010000
3212020202020210221202212
43202200002300113100
512441040012324040
6303420453331252
723366542323014
oct3424002602720
9766666727685
10243203245520
1194161989a94
123b174336b28
1319c1ac08591
14bab1c80544
1564d629ad65
hex38a00b05d0

243203245520 has 80 divisors (see below), whose sum is σ = 570004231680. Its totient is φ = 96499200000.

The previous prime is 243203245507. The next prime is 243203245541. The reversal of 243203245520 is 25542302342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2432032455202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8671520 + ... + 8699520.

It is an arithmetic number, because the mean of its divisors is an integer number (7125052896).

Almost surely, 2243203245520 is an apocalyptic number.

243203245520 is a gapful number since it is divisible by the number (20) 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 243203245520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285002115840).

243203245520 is an abundant number, since it is smaller than the sum of its proper divisors (326800986160).

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

243203245520 is a wasteful number, since it uses less digits than its factorization.

243203245520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28884 (or 28878 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 243203245520 its reverse (25542302342), we get a palindrome (268745547862).

The spelling of 243203245520 in words is "two hundred forty-three billion, two hundred three million, two hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 719 755 1208 1438 1510 2416 2876 3020 3595 5752 6040 7190 11504 12080 14380 28001 28760 56002 57520 108569 112004 140005 217138 224008 280010 434276 448016 542845 560020 868552 1085690 1120040 1737104 2171380 2240080 4228151 4342760 8456302 8685520 16912604 20132719 21140755 33825208 40265438 42281510 67650416 80530876 84563020 100663595 161061752 169126040 201327190 322123504 338252080 402654380 805308760 1610617520 3040040569 6080081138 12160162276 15200202845 24320324552 30400405690 48640649104 60800811380 121601622760 243203245520