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471974496016 = 24172101032
BaseRepresentation
bin1101101111000111101…
…11110100011100010000
31200010020201021121012111
412313203313310130100
530213100432333031
61000453323235104
746045653010552
oct6674367643420
91603221247174
10471974496016
11172188331561
127757b378a94
1335678b7061a
1418bb51154d2
15c4255301b1
hex6de3df4710

471974496016 has 45 divisors (see below), whose sum is σ = 971502145621. Its totient is φ = 222083661056.

The previous prime is 471974496001. The next prime is 471974496043. The reversal of 471974496016 is 610694479174.

The square root of 471974496016 is 687004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 367454192400 + 104520303616 = 606180^2 + 323296^2 .

It is a super-3 number, since 3×4719744960163 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46711221 + ... + 46721323.

Almost surely, 2471974496016 is an apocalyptic number.

471974496016 is the 687004-th square number.

It is an amenable number.

471974496016 is an abundant number, since it is smaller than the sum of its proper divisors (499527649605).

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

471974496016 is an frugal number, since it uses more digits than its factorization.

471974496016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20248 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 471974496016 in words is "four hundred seventy-one billion, nine hundred seventy-four million, four hundred ninety-six thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 10103 20206 40412 80824 161648 171751 343502 687004 1374008 2748016 2919767 5839534 11679068 23358136 46716272 102070609 204141218 408282436 816564872 1633129744 1735200353 3470400706 6940801412 13881602824 27763205648 29498406001 58996812002 117993624004 235987248008 471974496016