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668063952 = 243229159977
BaseRepresentation
bin100111110100011…
…101100011010000
31201120002011110100
4213310131203100
52332011021302
6150142532400
722361310213
oct4764354320
91646064410
10668063952
11313117376
12167897100
13a853a11a
1464a2377a
153d9b4d1c
hex27d1d8d0

668063952 has 60 divisors (see below), whose sum is σ = 1934134020. Its totient is φ = 215007744.

The previous prime is 668063933. The next prime is 668064013. The reversal of 668063952 is 259360866.

It is a happy number.

668063952 is a `hidden beast` number, since 6 + 6 + 8 + 0 + 639 + 5 + 2 = 666.

668063952 is digitally balanced in base 2, 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 127780416 + 540283536 = 11304^2 + 23244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 668063898 and 668063907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75813 + ... + 84164.

It is an arithmetic number, because the mean of its divisors is an integer number (32235567).

Almost surely, 2668063952 is an apocalyptic number.

It is an amenable number.

668063952 is an abundant number, since it is smaller than the sum of its proper divisors (1266070068).

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

668063952 is a wasteful number, since it uses less digits than its factorization.

668063952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160020 (or 160011 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 668063952 is about 25846.9331256147. The cubic root of 668063952 is about 874.1903594215.

The spelling of 668063952 in words is "six hundred sixty-eight million, sixty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 159977 319954 479931 639908 959862 1279816 1439793 1919724 2559632 2879586 3839448 4639333 5759172 7678896 9278666 11518344 13917999 18557332 23036688 27835998 37114664 41753997 55671996 74229328 83507994 111343992 167015988 222687984 334031976 668063952