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505450053440 = 26523834871699
BaseRepresentation
bin1110101101011110010…
…10111011111101000000
31210022122200110010001122
413112233022323331000
531240130203202230
61024111152451412
751342344365103
oct7265712737500
91708580403048
10505450053440
111853a64182a2
1281b62249b68
13388822c4777
141a66cd9873a
15d234338be5
hex75af2bbf40

505450053440 has 224 divisors, whose sum is σ = 1274424883200. Its totient is φ = 190555047936.

The previous prime is 505450053439. The next prime is 505450053443. The reversal of 505450053440 is 44350054505.

It is a self number, because there is not a number n which added to its sum of digits gives 505450053440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505450053443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 297497711 + ... + 297499409.

It is an arithmetic number, because the mean of its divisors is an integer number (5689396800).

Almost surely, 2505450053440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505450053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637212441600).

505450053440 is an abundant number, since it is smaller than the sum of its proper divisors (768974829760).

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

505450053440 is a wasteful number, since it uses less digits than its factorization.

505450053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

The spelling of 505450053440 in words is "five hundred five billion, four hundred fifty million, fifty-three thousand, four hundred forty".