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5067571104 = 253252133773
BaseRepresentation
bin1001011100000110…
…01111111110100000
3111002011112021200200
410232003033332200
540334244233404
62154503345200
7236402433531
oct45603177640
914064467620
105067571104
11217056a1a2
12b95152200
13629b599ab
14361050688
151e9d52839
hex12e0cffa0

5067571104 has 72 divisors (see below), whose sum is σ = 14438992932. Its totient is φ = 1685898240.

The previous prime is 5067571049. The next prime is 5067571109. The reversal of 5067571104 is 4011757605.

5067571104 is a `hidden beast` number, since 506 + 75 + 71 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5048386704 + 19184400 = 71052^2 + 4380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5067571109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133162 + ... + 166934.

Almost surely, 25067571104 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 5067571104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219496466).

5067571104 is an abundant number, since it is smaller than the sum of its proper divisors (9371421828).

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

5067571104 is a wasteful number, since it uses less digits than its factorization.

5067571104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34310 (or 34299 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 5067571104 is about 71186.8745205182. The cubic root of 5067571104 is about 1717.6445023757.

The spelling of 5067571104 in words is "five billion, sixty-seven million, five hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 521 1042 1563 2084 3126 4168 4689 6252 8336 9378 12504 16672 18756 25008 33773 37512 50016 67546 75024 101319 135092 150048 202638 270184 303957 405276 540368 607914 810552 1080736 1215828 1621104 2431656 3242208 4863312 9726624 17595733 35191466 52787199 70382932 105574398 140765864 158361597 211148796 281531728 316723194 422297592 563063456 633446388 844595184 1266892776 1689190368 2533785552 5067571104