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517137245000 = 2354786713147
BaseRepresentation
bin1111000011001111100…
…10000010001101001000
31211102211011221221220022
413201213302002031020
531433044113320000
61033323005520012
752235100024635
oct7414762021510
91742734857808
10517137245000
1118a3535472a2
1284284273008
13399c56c552c
141b05b22b18c
15d6ba3ba585
hex7867c82348

517137245000 has 80 divisors (see below), whose sum is σ = 1211898755760. Its totient is φ = 206812872000.

The previous prime is 517137244979. The next prime is 517137245087. The reversal of 517137245000 is 542731715.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39328427 + ... + 39341573.

It is an arithmetic number, because the mean of its divisors is an integer number (15148734447).

Almost surely, 2517137245000 is an apocalyptic number.

517137245000 is a gapful number since it is divisible by the number (50) 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 517137245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605949377880).

517137245000 is an abundant number, since it is smaller than the sum of its proper divisors (694761510760).

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

517137245000 is a wasteful number, since it uses less digits than its factorization.

517137245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21040 (or 21021 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

Adding to 517137245000 its reverse (542731715), we get a palindrome (517679976715).

The spelling of 517137245000 in words is "five hundred seventeen billion, one hundred thirty-seven million, two hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 7867 13147 15734 26294 31468 39335 52588 62936 65735 78670 105176 131470 157340 196675 262940 314680 328675 393350 525880 657350 786700 983375 1314700 1573400 1643375 1966750 2629400 3286750 3933500 4916875 6573500 7867000 8216875 9833750 13147000 16433750 19667500 32867500 39335000 65735000 103427449 206854898 413709796 517137245 827419592 1034274490 2068548980 2585686225 4137097960 5171372450 10342744900 12928431125 20685489800 25856862250 51713724500 64642155625 103427449000 129284311250 258568622500 517137245000