Search a number
-
+
505005550500 = 2235311192955547
BaseRepresentation
bin1110101100101001010…
…11010010101110100100
31210021111201001000122210
413112110223102232210
531233222410104000
61023555113323420
751325336232133
oct7262453225644
91707451030583
10505005550500
111851985166a0
1281a59406570
13388111a0b89
141a629d2b91a
15d20a2d4350
hex7594ad2ba4

505005550500 has 384 divisors, whose sum is σ = 1746962380800. Its totient is φ = 111980736000.

The previous prime is 505005550459. The next prime is 505005550583. The reversal of 505005550500 is 5055500505.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9063727 + ... + 9119273.

It is an arithmetic number, because the mean of its divisors is an integer number (4549381200).

Almost surely, 2505005550500 is an apocalyptic number.

505005550500 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 505005550500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873481190400).

505005550500 is an abundant number, since it is smaller than the sum of its proper divisors (1241956830300).

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

505005550500 is a wasteful number, since it uses less digits than its factorization.

505005550500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55628 (or 55616 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 30.

The spelling of 505005550500 in words is "five hundred five billion, five million, five hundred fifty thousand, five hundred".