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4531983105 = 3513611392741
BaseRepresentation
bin1000011100010000…
…01001001100000001
3102200211201121002010
410032020021030001
533240141424410
62025412043133
7220210135506
oct41610111401
912624647063
104531983105
111a16205a91
12a659034a9
13572bc4310
1430dc734ad
151b7d09c20
hex10e209301

4531983105 has 64 divisors (see below), whose sum is σ = 7996988160. Its totient is φ = 2177971200.

The previous prime is 4531983103. The next prime is 4531983133. The reversal of 4531983105 is 5013891354.

It is not a de Polignac number, because 4531983105 - 21 = 4531983103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4531983101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1652035 + ... + 1654775.

It is an arithmetic number, because the mean of its divisors is an integer number (124952940).

It is the magic constant of a 2085 × 2085 magic square.

Almost surely, 24531983105 is an apocalyptic number.

It is an amenable number.

4531983105 is a deficient number, since it is larger than the sum of its proper divisors (3465005055).

4531983105 is a wasteful number, since it uses less digits than its factorization.

4531983105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962.

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 4531983105 is about 67320.0052361852. The cubic root of 4531983105 is about 1654.8657235674.

The spelling of 4531983105 in words is "four billion, five hundred thirty-one million, nine hundred eighty-three thousand, one hundred five".

Divisors: 1 3 5 13 15 39 61 65 139 183 195 305 417 695 793 915 1807 2085 2379 2741 3965 5421 8223 8479 9035 11895 13705 25437 27105 35633 41115 42395 106899 110227 127185 167201 178165 330681 380999 501603 534495 551135 836005 1142997 1653405 1904995 2173613 2508015 4952987 5714985 6520839 10868065 14858961 23240939 24764935 32604195 69722817 74294805 116204695 302132207 348614085 906396621 1510661035 4531983105