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1005045455050 = 2527132141103171
BaseRepresentation
bin11101010000000010110…
…00001001100011001010
310120002012100100002122121
432220001120021203022
5112431313114030200
62045413404041454
7132416651261350
oct16500130114312
93502170302577
101005045455050
11358267a59a5a
1214294b83328a
1373a10680bc0
143690457b7d0
151b22469ae1a
hexea016098ca

1005045455050 has 96 divisors (see below), whose sum is σ = 2301877920384. Its totient is φ = 317928672000.

The previous prime is 1005045455033. The next prime is 1005045455053. The reversal of 1005045455050 is 505545405001.

It is a junction number, because it is equal to n+sod(n) for n = 1005045454997 and 1005045455015.

It is not an unprimeable number, because it can be changed into a prime (1005045455053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9689965 + ... + 9793135.

It is an arithmetic number, because the mean of its divisors is an integer number (23977895004).

Almost surely, 21005045455050 is an apocalyptic number.

1005045455050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005045455050 is an abundant number, since it is smaller than the sum of its proper divisors (1296832465334).

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

1005045455050 is a wasteful number, since it uses less digits than its factorization.

1005045455050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105344 (or 105339 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 34.

The spelling of 1005045455050 in words is "one trillion, five billion, forty-five million, four hundred fifty-five thousand, fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 50 65 70 91 130 175 182 325 350 455 650 910 2141 2275 4282 4550 10705 14987 21410 27833 29974 53525 55666 74935 103171 107050 139165 149870 194831 206342 278330 374675 389662 515855 695825 722197 749350 974155 1031710 1341223 1391650 1444394 1948310 2579275 2682446 3610985 4870775 5158550 6706115 7221970 9388561 9741550 13412230 18054925 18777122 33530575 36109850 46942805 67061150 93885610 220889111 234714025 441778222 469428050 1104445555 1546223777 2208891110 2871558443 3092447554 5522227775 5743116886 7731118885 11044455550 14357792215 15462237770 20100909101 28715584430 38655594425 40201818202 71788961075 77311188850 100504545505 143577922150 201009091010 502522727525 1005045455050