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4270124679184 = 24741328112
BaseRepresentation
bin111110001000110111010…
…000111100000000010000
3120010012221022221011222201
4332020313100330000100
51024430203404213214
613025400155212544
7620335445620000
oct76106720740020
916105838834881
104270124679184
1113a6a4a072191
1258b6b4147154
1324c895336c00
1410a964810000
157612096c274
hex3e23743c010

4270124679184 has 225 divisors, whose sum is σ = 10464137442909. Its totient is φ = 1687197133440.

The previous prime is 4270124679151. The next prime is 4270124679229. The reversal of 4270124679184 is 4819764210724.

The square root of 4270124679184 is 2066428.

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

It can be written as a sum of positive squares in only one way, i.e., 631675248400 + 3638449430784 = 794780^2 + 1907472^2 .

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 5265258139 + ... + 5265258949.

Almost surely, 24270124679184 is an apocalyptic number.

4270124679184 is the 2066428-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4270124679184

4270124679184 is an abundant number, since it is smaller than the sum of its proper divisors (6194012763725).

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

4270124679184 is an frugal number, since it uses more digits than its factorization.

4270124679184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 4270124679184 in words is "four trillion, two hundred seventy billion, one hundred twenty-four million, six hundred seventy-nine thousand, one hundred eighty-four".