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3138947604 = 2232136707153
BaseRepresentation
bin1011101100011000…
…1000101000010100
322002202111001121200
42323012020220110
522412032310404
61235250312500
7140533420512
oct27306105024
98082431550
103138947604
111370943881
12737288730
133b0413860
1421ac554b2
1513588d839
hexbb188a14

3138947604 has 36 divisors (see below), whose sum is σ = 8544914196. Its totient is φ = 965829888.

The previous prime is 3138947599. The next prime is 3138947653. The reversal of 3138947604 is 4067498313.

3138947604 is a `hidden beast` number, since 3 + 1 + 38 + 9 + 4 + 7 + 604 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2062976400 + 1075971204 = 45420^2 + 32802^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3138947604.

It is a congruent number.

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, 3353109 + ... + 3354044.

Almost surely, 23138947604 is an apocalyptic number.

It is an amenable number.

3138947604 is an abundant number, since it is smaller than the sum of its proper divisors (5405966592).

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

3138947604 is a wasteful number, since it uses less digits than its factorization.

3138947604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707176 (or 6707171 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3138947604 is about 56026.3117115521. The cubic root of 3138947604 is about 1464.1807366670.

The spelling of 3138947604 in words is "three billion, one hundred thirty-eight million, nine hundred forty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6707153 13414306 20121459 26828612 40242918 60364377 80485836 87192989 120728754 174385978 241457508 261578967 348771956 523157934 784736901 1046315868 1569473802 3138947604