Search a number
-
+
4297859704384 = 261922325932
BaseRepresentation
bin111110100010101100011…
…001101010011001000000
3120012212112020021110001021
4332202230121222121000
51030404004041020014
613050224241115224
7622336653502531
oct76425431523100
916185466243037
104297859704384
111407791838114
12594b54628b14
1325239539b21c
1410c036106688
1576be57e2624
hex3e8ac66a640

4297859704384 has 189 divisors, whose sum is σ = 9425322068673. Its totient is φ = 1944030173184.

The previous prime is 4297859704367. The next prime is 4297859704387. The reversal of 4297859704384 is 4834079587924.

The square root of 4297859704384 is 2073128.

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., 2642705409600 + 1655154294784 = 1625640^2 + 1286528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4297859704387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7247655192 + ... + 7247655784.

Almost surely, 24297859704384 is an apocalyptic number.

4297859704384 is the 2073128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4297859704384

4297859704384 is an abundant number, since it is smaller than the sum of its proper divisors (5127462364289).

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

4297859704384 is an frugal number, since it uses more digits than its factorization.

4297859704384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 70.

The spelling of 4297859704384 in words is "four trillion, two hundred ninety-seven billion, eight hundred fifty-nine million, seven hundred four thousand, three hundred eighty-four".