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505385183720 = 23517373032541
BaseRepresentation
bin1110101101010110100…
…11011110100111101000
31210022111011101101112102
413112223103132213220
531240012101334340
61024100514232532
751340626116414
oct7265323364750
91708434341472
10505385183720
1118537284075a
1281b44585748
1338871a31111
141a66450dd44
15d22d7c3215
hex75ab4de9e8

505385183720 has 32 divisors (see below), whose sum is σ = 1143689607720. Its totient is φ = 200985550080.

The previous prime is 505385183687. The next prime is 505385183731. The reversal of 505385183720 is 27381583505.

It can be written as a sum of positive squares in 4 ways, for example, as 496030038436 + 9355145284 = 704294^2 + 96722^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 36509351 + ... + 36523190.

Almost surely, 2505385183720 is an apocalyptic number.

It is an amenable number.

505385183720 is an abundant number, since it is smaller than the sum of its proper divisors (638304424000).

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

505385183720 is a wasteful number, since it uses less digits than its factorization.

505385183720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73032725 (or 73032721 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 47.

The spelling of 505385183720 in words is "five hundred five billion, three hundred eighty-five million, one hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3460 6920 73032541 146065082 292130164 365162705 584260328 730325410 1460650820 2921301640 12634629593 25269259186 50538518372 63173147965 101077036744 126346295930 252692591860 505385183720