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3188004968 = 231710921973
BaseRepresentation
bin1011111000000101…
…0001100001101000
322020011210102200002
42332001101201220
523012112124333
61244202002132
7142000411061
oct27601214150
98204712602
103188004968
111396600355
1274b7a6348
133ba62bb95
14223585568
15139d2e0e8
hexbe051868

3188004968 has 48 divisors (see below), whose sum is σ = 6390963180. Its totient is φ = 1485720576.

The previous prime is 3188004949. The next prime is 3188004991. The reversal of 3188004968 is 8694008813.

It can be written as a sum of positive squares in 6 ways, for example, as 2210692324 + 977312644 = 47018^2 + 31262^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1614830 + ... + 1616802.

Almost surely, 23188004968 is an apocalyptic number.

It is an amenable number.

3188004968 is an abundant number, since it is smaller than the sum of its proper divisors (3202958212).

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

3188004968 is a wasteful number, since it uses less digits than its factorization.

3188004968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 3188004968 is about 56462.4208478524. The cubic root of 3188004968 is about 1471.7690408848.

The spelling of 3188004968 in words is "three billion, one hundred eighty-eight million, four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 17 34 68 109 136 218 436 872 1853 1973 3706 3946 7412 7892 11881 14824 15784 23762 33541 47524 67082 95048 134164 201977 215057 268328 403954 430114 807908 860228 1615816 1720456 3655969 7311938 14623876 23441213 29247752 46882426 93764852 187529704 398500621 797001242 1594002484 3188004968