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505990401528 = 23347751597301
BaseRepresentation
bin1110101110011110110…
…00001100110111111000
31210101001100012122021210
413113033120030313320
531242232020322103
61024240534203120
751361625310003
oct7271730146770
91711040178253
10505990401528
11185653432867
12820931b34a0
133893a235971
141a6c0a5453a
15d2669c1e03
hex75cf60cdf8

505990401528 has 64 divisors (see below), whose sum is σ = 1293612779520. Its totient is φ = 164854800000.

The previous prime is 505990401503. The next prime is 505990401529. The reversal of 505990401528 is 825104099505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505990401529) 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 15 ways as a sum of consecutive naturals, for example, 548478 + ... + 1145778.

It is an arithmetic number, because the mean of its divisors is an integer number (20212699680).

Almost surely, 2505990401528 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 505990401528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646806389760).

505990401528 is an abundant number, since it is smaller than the sum of its proper divisors (787622377992).

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

505990401528 is a wasteful number, since it uses less digits than its factorization.

505990401528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598108 (or 598104 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 505990401528 in words is "five hundred five billion, nine hundred ninety million, four hundred one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 751 1128 1502 2253 3004 4506 6008 9012 18024 35297 70594 105891 141188 211782 282376 423564 597301 847128 1194602 1791903 2389204 3583806 4778408 7167612 14335224 28073147 56146294 84219441 112292588 168438882 224585176 336877764 448573051 673755528 897146102 1345719153 1794292204 2691438306 3588584408 5382876612 10765753224 21082933397 42165866794 63248800191 84331733588 126497600382 168663467176 252995200764 505990401528