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505340255304 = 23352331336109
BaseRepresentation
bin1110101101010001010…
…00000101110001001000
31210022101000211210100000
413112220220011301020
531234414101132204
61024052231243000
751336542203653
oct7265050056110
91708330753300
10505340255304
1118534a444335
1281b31519460
1338865630261
141a65c57689a
15d22989b039
hex75a8a05c48

505340255304 has 192 divisors, whose sum is σ = 1485802281600. Its totient is φ = 160603762176.

The previous prime is 505340255293. The next prime is 505340255339. The reversal of 505340255304 is 403552043505.

505340255304 is a `hidden beast` number, since 5 + 0 + 5 + 340 + 2 + 5 + 5 + 304 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13976802 + ... + 14012910.

It is an arithmetic number, because the mean of its divisors is an integer number (7738553550).

Almost surely, 2505340255304 is an apocalyptic number.

505340255304 is a gapful number since it is divisible by the number (54) 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 505340255304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742901140800).

505340255304 is an abundant number, since it is smaller than the sum of its proper divisors (980462026296).

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

505340255304 is a wasteful number, since it uses less digits than its factorization.

505340255304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36466 (or 36450 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

Adding to 505340255304 its reverse (403552043505), we get a palindrome (908892298809).

The spelling of 505340255304 in words is "five hundred five billion, three hundred forty million, two hundred fifty-five thousand, three hundred four".