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4654142064 = 243511213761
BaseRepresentation
bin1000101010110100…
…01001001001110000
3110000100120220200000
410111122021021300
534012430021224
62045454230000
7223222361205
oct42532111160
913010526600
104654142064
111a79161900
12a9a7b5300
135922c5b20
14322191cac
151c38da0c9
hex115689270

4654142064 has 360 divisors, whose sum is σ = 16010235696. Its totient is φ = 1300147200.

The previous prime is 4654142063. The next prime is 4654142107. The reversal of 4654142064 is 4602414564.

It is a super-2 number, since 2×46541420642 = 43322076703788360192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4654142063) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6115444 + ... + 6116204.

Almost surely, 24654142064 is an apocalyptic number.

4654142064 is a gapful number since it is divisible by the number (44) 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 4654142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005117848).

4654142064 is an abundant number, since it is smaller than the sum of its proper divisors (11356093632).

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

4654142064 is a wasteful number, since it uses less digits than its factorization.

4654142064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4654142064 is about 68221.2728113453. The cubic root of 4654142064 is about 1669.6029825824.

The spelling of 4654142064 in words is "four billion, six hundred fifty-four million, one hundred forty-two thousand, sixty-four".