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506636230000 = 2454179383739
BaseRepresentation
bin1110101111101011101…
…11110101110101110000
31210102201100110010101211
413113311313311311300
531300042333330000
61024425004405504
751413626620565
oct7276567656560
91712640403354
10506636230000
11185954a422aa
1282233546894
1338a10c88ca4
141a74272a86c
15d2a35437ba
hex75f5df5d70

506636230000 has 200 divisors, whose sum is σ = 1238363596800. Its totient is φ = 200724192000.

The previous prime is 506636229991. The next prime is 506636230013. The reversal of 506636230000 is 32636605.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×5066362300002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 685569631 + ... + 685570369.

It is an arithmetic number, because the mean of its divisors is an integer number (6191817984).

Almost surely, 2506636230000 is an apocalyptic number.

506636230000 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 506636230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619181798400).

506636230000 is an abundant number, since it is smaller than the sum of its proper divisors (731727366800).

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

506636230000 is a wasteful number, since it uses less digits than its factorization.

506636230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 506636230000 its reverse (32636605), we get a palindrome (506668866605).

The spelling of 506636230000 in words is "five hundred six billion, six hundred thirty-six million, two hundred thirty thousand".