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6000420564 = 2232166678349
BaseRepresentation
bin1011001011010011…
…10010011011010100
3120111011211221120200
411211221302123110
544242101424224
62431225500500
7301460506335
oct54551623324
916434757520
106000420564
1125aa098866
1211b5641730
137481b5318
1440ccbc28c
15251bbc5c9
hex165a726d4

6000420564 has 18 divisors (see below), whose sum is σ = 15167729850. Its totient is φ = 2000140176.

The previous prime is 6000420563. The next prime is 6000420577. The reversal of 6000420564 is 4650240006.

It is a happy number.

6000420564 is a `hidden beast` number, since 60 + 0 + 0 + 42 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5984260164 + 16160400 = 77358^2 + 4020^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000420563) 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 5 ways as a sum of consecutive naturals, for example, 83339139 + ... + 83339210.

Almost surely, 26000420564 is an apocalyptic number.

It is an amenable number.

6000420564 is an abundant number, since it is smaller than the sum of its proper divisors (9167309286).

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

6000420564 is a wasteful number, since it uses less digits than its factorization.

6000420564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166678359 (or 166678354 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6000420564 is about 77462.3816055251. The cubic root of 6000420564 is about 1817.1630482571.

The spelling of 6000420564 in words is "six billion, four hundred twenty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 166678349 333356698 500035047 666713396 1000070094 1500105141 2000140188 3000210282 6000420564