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4829694016 = 2672172732
BaseRepresentation
bin1000111111101111…
…10100100001000000
3110110120220212200011
410133313310201000
534342400202031
62115125034304
7230453502400
oct43767644100
913416825604
104829694016
112059266664
12b29555994
135bc7a0214
1433b60c800
151d40156b1
hex11fdf4840

4829694016 has 189 divisors, whose sum is σ = 12007481319. Its totient is φ = 1921425408.

The previous prime is 4829694013. The next prime is 4829694019. The reversal of 4829694016 is 6104969284.

The square root of 4829694016 is 69496.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4829694013) and next prime (4829694019).

It can be written as a sum of positive squares in 4 ways, for example, as 609892416 + 4219801600 = 24696^2 + 64960^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4829694013) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66160156 + ... + 66160228.

Almost surely, 24829694016 is an apocalyptic number.

4829694016 is the 69496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4829694016

4829694016 is an abundant number, since it is smaller than the sum of its proper divisors (7177787303).

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

4829694016 is an equidigital number, since it uses as much as digits as its factorization.

4829694016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The cubic root of 4829694016 is about 1690.3366410365.

Multiplying 4829694016 by its sum of digits (49), we get a square (236655006784 = 4864722).

4829694016 divided by its sum of digits (49) gives a square (98565184 = 99282).

The spelling of 4829694016 in words is "four billion, eight hundred twenty-nine million, six hundred ninety-four thousand, sixteen".