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478380351969 = 32134088720957
BaseRepresentation
bin1101111011000011011…
…00001110000111100001
31200201210011000210120200
412331201230032013201
530314210332230334
61003433115055413
746363465620462
oct6754154160741
91621704023520
10478380351969
11174975267993
1278868741569
133615a04b230
1419221bb0d69
15c69cad6799
hex6f61b0e1e1

478380351969 has 12 divisors (see below), whose sum is σ = 744147214356. Its totient is φ = 294387908832.

The previous prime is 478380351913. The next prime is 478380351973. The reversal of 478380351969 is 969153083874.

478380351969 is a `hidden beast` number, since 47 + 83 + 80 + 351 + 96 + 9 = 666.

478380351969 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 166229074944 + 312151277025 = 407712^2 + 558705^2 .

It is not a de Polignac number, because 478380351969 - 215 = 478380319201 is a prime.

It is a super-2 number, since 2×4783803519692 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (478380350969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2044360362 + ... + 2044360595.

It is an arithmetic number, because the mean of its divisors is an integer number (62012267863).

Almost surely, 2478380351969 is an apocalyptic number.

It is an amenable number.

478380351969 is a deficient number, since it is larger than the sum of its proper divisors (265766862387).

478380351969 is a wasteful number, since it uses less digits than its factorization.

478380351969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088720976 (or 4088720973 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 478380351969 in words is "four hundred seventy-eight billion, three hundred eighty million, three hundred fifty-one thousand, nine hundred sixty-nine".

Divisors: 1 3 9 13 39 117 4088720957 12266162871 36798488613 53153372441 159460117323 478380351969