Search a number
-
+
4396964382720 = 211325713524287
BaseRepresentation
bin111111111110111111100…
…000000000100000000000
3120120100100000012201212100
4333332333200000200000
51034014440340221340
613203534302230400
7632445606406020
oct77767740004000
916510300181770
104396964382720
111445818846858
125b01b2585400
1325b82a561820
14112b582a7a80
1579596126830
hex3ffbf800800

4396964382720 has 576 divisors, whose sum is σ = 18755836968960. Its totient is φ = 927709396992.

The previous prime is 4396964382689. The next prime is 4396964382739. The reversal of 4396964382720 is 272834696934.

4396964382720 is a `hidden beast` number, since 4 + 3 + 96 + 96 + 438 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8124417 + ... + 8648703.

It is an arithmetic number, because the mean of its divisors is an integer number (32562216960).

Almost surely, 24396964382720 is an apocalyptic number.

4396964382720 is a gapful number since it is divisible by the number (40) 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 4396964382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377918484480).

4396964382720 is an abundant number, since it is smaller than the sum of its proper divisors (14358872586240).

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

4396964382720 is a wasteful number, since it uses less digits than its factorization.

4396964382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524340 (or 524317 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

It can be divided in two parts, 439696 and 4382720, that added together give a square (4822416 = 21962).

The spelling of 4396964382720 in words is "four trillion, three hundred ninety-six billion, nine hundred sixty-four million, three hundred eighty-two thousand, seven hundred twenty".