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4652206944 = 2537111737021
BaseRepresentation
bin1000101010100101…
…10000101101100000
3110000012221121011220
410111102300231200
534011431110234
62045344535040
7223200051360
oct42522605540
913005847156
104652206944
111a7805aa30
12a9a021480
13591a99098
14321c0a9a0
151c3656a49
hex1154b0b60

4652206944 has 192 divisors, whose sum is σ = 16121452032. Its totient is φ = 1137254400.

The previous prime is 4652206813. The next prime is 4652207011. The reversal of 4652206944 is 4496022564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4652206896 and 4652206905.

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 31 ways as a sum of consecutive naturals, for example, 107154 + ... + 144174.

It is an arithmetic number, because the mean of its divisors is an integer number (83965896).

Almost surely, 24652206944 is an apocalyptic number.

4652206944 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 4652206944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060726016).

4652206944 is an abundant number, since it is smaller than the sum of its proper divisors (11469245088).

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

4652206944 is a wasteful number, since it uses less digits than its factorization.

4652206944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37069 (or 37061 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 4652206944 is about 68207.0886638625. The cubic root of 4652206944 is about 1669.3715521729.

The spelling of 4652206944 in words is "four billion, six hundred fifty-two million, two hundred six thousand, nine hundred forty-four".