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3152144512 = 27114874597
BaseRepresentation
bin1011101111100001…
…1110100010000000
322010200022112101001
42323320132202000
522423422111022
61240441221344
7141053533456
oct27370364200
98120275331
103152144512
111378337910
1273b791854
133b308458a
1421c8cc9d6
15136ae8b27
hexbbe1e880

3152144512 has 64 divisors (see below), whose sum is σ = 6866101440. Its totient is φ = 1429539840.

The previous prime is 3152144509. The next prime is 3152144519. The reversal of 3152144512 is 2154412513.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3152144519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 683398 + ... + 687994.

It is an arithmetic number, because the mean of its divisors is an integer number (107282835).

Almost surely, 23152144512 is an apocalyptic number.

3152144512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3152144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433050720).

3152144512 is an abundant number, since it is smaller than the sum of its proper divisors (3713956928).

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

3152144512 is a wasteful number, since it uses less digits than its factorization.

3152144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5097 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 3152144512 is about 56143.9623824325. The cubic root of 3152144512 is about 1466.2297931144.

The spelling of 3152144512 in words is "three billion, one hundred fifty-two million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 487 704 974 1408 1948 3896 4597 5357 7792 9194 10714 15584 18388 21428 31168 36776 42856 50567 62336 73552 85712 101134 147104 171424 202268 294208 342848 404536 588416 685696 809072 1618144 2238739 3236288 4477478 6472576 8954956 17909912 24626129 35819824 49252258 71639648 98504516 143279296 197009032 286558592 394018064 788036128 1576072256 3152144512