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3138955584 = 263113149971
BaseRepresentation
bin1011101100011000…
…1010100101000000
322002202111110120020
42323012022211000
522412033034314
61235250413440
7140533453002
oct27306124500
98082443506
103138955584
111370949876
12737291280
133b041738b
1421ac58372
15135890da9
hexbb18a940

3138955584 has 112 divisors (see below), whose sum is σ = 8443569600. Its totient is φ = 1029038080.

The previous prime is 3138955579. The next prime is 3138955597. The reversal of 3138955584 is 4855598313.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 3232219 + ... + 3233189.

Almost surely, 23138955584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138955584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221784800).

3138955584 is an abundant number, since it is smaller than the sum of its proper divisors (5304614016).

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

3138955584 is a wasteful number, since it uses less digits than its factorization.

3138955584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1238 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 51.

The square root of 3138955584 is about 56026.3829280456. The cubic root of 3138955584 is about 1464.1819774387.

The spelling of 3138955584 in words is "three billion, one hundred thirty-eight million, nine hundred fifty-five thousand, five hundred eighty-four".