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475668073953856 = 26723894612
BaseRepresentation
bin110110000100111100001101…
…0100101000011101001000000
32022101012102102221000020010001
41230021320122211003221000
5444321321203413010411
64403354521350245344
7202122612205155400
oct15411703245035100
92271172387006101
10475668073953856
11128620774118973
12454237ab656854
13175553cb36a884
1485666599c8800
1539ed34166ddc1
hex1b09e1a943a40

475668073953856 has 63 divisors (see below), whose sum is σ = 1098013402016937. Its totient is φ = 203857222544640.

The previous prime is 475668073953833. The next prime is 475668073953881. The reversal of 475668073953856 is 658359370866574.

The square root of 475668073953856 is 21809816.

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., 422359384315456 + 53308689638400 = 20551384^2 + 7301280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 475668073953856.

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, 1221154966 + ... + 1221544426.

It is an arithmetic number, because the mean of its divisors is an integer number (17428784158999).

Almost surely, 2475668073953856 is an apocalyptic number.

475668073953856 is the 21809816-th square number.

It is an amenable number.

475668073953856 is an abundant number, since it is smaller than the sum of its proper divisors (622345328063081).

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

475668073953856 is an frugal number, since it uses more digits than its factorization.

475668073953856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778948 (or 389470 counting only the distinct ones).

The product of its (nonzero) digits is 27433728000, while the sum is 82.

The spelling of 475668073953856 in words is "four hundred seventy-five trillion, six hundred sixty-eight billion, seventy-three million, nine hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 389461 778922 1557844 2726227 3115688 5452454 6231376 10904908 12462752 19083589 21809816 24925504 38167178 43619632 76334356 87239264 152668712 174478528 305337424 610674848 1221349696 151679870521 303359741042 606719482084 1061759093647 1213438964168 2123518187294 2426877928336 4247036374588 4853755856672 7432313655529 8494072749176 9707511713344 14864627311058 16988145498352 29729254622116 33976290996704 59458509244232 67952581993408 118917018488464 237834036976928 475668073953856