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505426491360 = 253357172513917
BaseRepresentation
bin1110101101011011100…
…01000011011111100000
31210022121001010000222000
413112231301003133200
531240103140210420
61024104551444000
751341640202020
oct7265561033740
91708531100860
10505426491360
111853940947aa
1281b56386600
133887a464bcb
141a669bc3a80
15d232232690
hex75adc437e0

505426491360 has 768 divisors, whose sum is σ = 2149706926080. Its totient is φ = 108269568000.

The previous prime is 505426491319. The next prime is 505426491403. The reversal of 505426491360 is 63194624505.

505426491360 is a `hidden beast` number, since 5 + 0 + 542 + 6 + 49 + 1 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 129032122 + ... + 129036038.

It is an arithmetic number, because the mean of its divisors is an integer number (2799097560).

Almost surely, 2505426491360 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 505426491360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074853463040).

505426491360 is an abundant number, since it is smaller than the sum of its proper divisors (1644280434720).

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

505426491360 is a wasteful number, since it uses less digits than its factorization.

505426491360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 505426491360 in words is "five hundred five billion, four hundred twenty-six million, four hundred ninety-one thousand, three hundred sixty".