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1005060601060 = 225101497554753
BaseRepresentation
bin11101010000000100100…
…01111011010011100100
310120002020101211121001221
432220002101323103210
5112431331003213220
62045415104430124
7132420224102665
oct16500221732344
93502211747057
101005060601060
1135827556441a
12142954918344
1373a13854b39
14369065a136c
151b225b8d9aa
hexea0247b4e4

1005060601060 has 24 divisors (see below), whose sum is σ = 2131524566136. Its totient is φ = 398043801600.

The previous prime is 1005060601043. The next prime is 1005060601063. The reversal of 1005060601060 is 601060605001.

It can be written as a sum of positive squares in 4 ways, for example, as 639923202304 + 365137398756 = 799952^2 + 604266^2 .

It is not an unprimeable number, because it can be changed into a prime (1005060601063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248775357 + ... + 248779396.

It is an arithmetic number, because the mean of its divisors is an integer number (88813523589).

Almost surely, 21005060601060 is an apocalyptic number.

1005060601060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005060601060 is an abundant number, since it is smaller than the sum of its proper divisors (1126463965076).

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

1005060601060 is a wasteful number, since it uses less digits than its factorization.

1005060601060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497554863 (or 497554861 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 1005060601060 in words is "one trillion, five billion, sixty million, six hundred one thousand, sixty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 497554753 995109506 1990219012 2487773765 4975547530 9951095060 50253030053 100506060106 201012120212 251265150265 502530300530 1005060601060