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472678646898276 = 22347213410212
BaseRepresentation
bin110101101111001100001001…
…0110101110101111001100100
32021222121122012121121011210000
41223132120102311311321210
5443423331332101221101
64353145323405501300
7201363622340356200
oct15336302265657144
92258548177534700
10472678646898276
11127678985515895
1245020356571830
1317399536140000
1484a1aa8d97b00
15399a6ca25e486
hex1ade612d75e64

472678646898276 has 675 divisors, whose sum is σ = 1558725591826557. Its totient is φ = 124540401847680.

The previous prime is 472678646898203. The next prime is 472678646898287. The reversal of 472678646898276 is 672898646876274.

The square root of 472678646898276 is 21741174.

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

472678646898276 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 78 + 6 + 468 + 9 + 8 + 2 + 76 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 469135066544676 + 3543580353600 = 21659526^2 + 1882440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 462956558646 + ... + 462956559666.

Almost surely, 2472678646898276 is an apocalyptic number.

472678646898276 is the 21741174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472678646898276

472678646898276 is an abundant number, since it is smaller than the sum of its proper divisors (1086046944928281).

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

472678646898276 is an frugal number, since it uses more digits than its factorization.

472678646898276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 1046 counting only the distinct ones).

The product of its digits is 131096641536, while the sum is 90.

The spelling of 472678646898276 in words is "four hundred seventy-two trillion, six hundred seventy-eight billion, six hundred forty-six million, eight hundred ninety-eight thousand, two hundred seventy-six".