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506080320816 = 24375477275003
BaseRepresentation
bin1110101110101001011…
…11001101110100110000
31210101021121102000100210
413113110233031310300
531242423030231231
61024253505344120
751364066515240
oct7272457156460
91711247360323
10506080320816
1118569a169524
12820b9338040
1338952a59c45
141a6cc97db20
15d26e834a46
hex75d4bcdd30

506080320816 has 80 divisors (see below), whose sum is σ = 1494420136704. Its totient is φ = 144567451392.

The previous prime is 506080320791. The next prime is 506080320877. The reversal of 506080320816 is 618023080605.

It is a happy number.

It is a super-2 number, since 2×5060803208162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1702771 + ... + 1977773.

Almost surely, 2506080320816 is an apocalyptic number.

506080320816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

506080320816 is an abundant number, since it is smaller than the sum of its proper divisors (988339815888).

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

506080320816 is a wasteful number, since it uses less digits than its factorization.

506080320816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280498 (or 280492 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 506080320816 in words is "five hundred six billion, eighty million, three hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 5477 10954 16431 21908 32862 38339 43816 65724 76678 87632 115017 131448 153356 230034 262896 275003 306712 460068 550006 613424 825009 920136 1100012 1650018 1840272 1925021 2200024 3300036 3850042 4400048 5775063 6600072 7700084 11550126 13200144 15400168 23100252 30800336 46200504 92401008 1506191431 3012382862 4518574293 6024765724 9037148586 10543340017 12049531448 18074297172 21086680034 24099062896 31630020051 36148594344 42173360068 63260040102 72297188688 84346720136 126520080204 168693440272 253040160408 506080320816