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245144050144104 = 233463205631072859
BaseRepresentation
bin110111101111010100001100…
…000001110001001101101000
31012010222112122100102201021110
4313233110030001301031220
5224112420003314102404
62225213342200510320
7102431034043224216
oct6757241401611550
91163875570381243
10245144050144104
117112400a461251
12235b268647b3a0
13a6a2ca560a157
14447706cd5bcb6
151d51b5ca7bb89
hexdef50c071368

245144050144104 has 64 divisors (see below), whose sum is σ = 614214238233600. Its totient is φ = 81534152500416.

The previous prime is 245144050144051. The next prime is 245144050144121. The reversal of 245144050144104 is 401441050441542.

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 15 ways as a sum of consecutive naturals, for example, 227959627 + ... + 229032485.

It is an arithmetic number, because the mean of its divisors is an integer number (9597097472400).

Almost surely, 2245144050144104 is an apocalyptic number.

245144050144104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245144050144104 is an abundant number, since it is smaller than the sum of its proper divisors (369070188089496).

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

245144050144104 is a wasteful number, since it uses less digits than its factorization.

245144050144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093894 (or 1093890 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 39.

The spelling of 245144050144104 in words is "two hundred forty-five trillion, one hundred forty-four billion, fifty million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 463 926 1389 1852 2778 3704 5556 11112 20563 41126 61689 82252 123378 164504 246756 493512 1072859 2145718 3218577 4291436 6437154 8582872 9520669 12874308 19041338 25748616 28562007 38082676 57124014 76165352 114248028 228496056 496733717 993467434 1490201151 1986934868 2980402302 3973869736 5960804604 11921609208 22061199617 44122399234 66183598851 88244798468 132367197702 176489596936 264734395404 529468790808 10214335422671 20428670845342 30643006268013 40857341690684 61286012536026 81714683381368 122572025072052 245144050144104