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505108440060 = 2235717195876343
BaseRepresentation
bin1110101100110101100…
…11110010001111111100
31210021202212122100121020
413112122303302033330
531233430230040220
61024013230504140
751331025620530
oct7263263621774
91707685570536
10505108440060
11185240601094
1281a87965050
13388295b6983
141a639871bc0
15d21435a040
hex759acf23fc

505108440060 has 384 divisors, whose sum is σ = 1804854804480. Its totient is φ = 102751358976.

The previous prime is 505108440013. The next prime is 505108440097. The reversal of 505108440060 is 60044801505.

It is a super-2 number, since 2×5051084400602 (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 127 ways as a sum of consecutive naturals, for example, 79629249 + ... + 79635591.

It is an arithmetic number, because the mean of its divisors is an integer number (4700142720).

Almost surely, 2505108440060 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 505108440060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902427402240).

505108440060 is an abundant number, since it is smaller than the sum of its proper divisors (1299746364420).

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

505108440060 is a wasteful number, since it uses less digits than its factorization.

505108440060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6985 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 505108440060 in words is "five hundred five billion, one hundred eight million, four hundred forty thousand, sixty".