Search a number
-
+
486752237568 = 21132127269773
BaseRepresentation
bin1110001010101001011…
…00011011100000000000
31201112101121012122121200
413011110230123200000
530433332033100233
61011335541421200
750111113516302
oct7052454334000
91645347178550
10486752237568
11178480a48503
127a40440a800
1336b9263acac
14197b7a01972
15c9dca90313
hex7154b1b800

486752237568 has 288 divisors, whose sum is σ = 1424006438400. Its totient is φ = 160167297024.

The previous prime is 486752237551. The next prime is 486752237611. The reversal of 486752237568 is 865732257684.

486752237568 is a `hidden beast` number, since 4 + 8 + 67 + 5 + 2 + 2 + 3 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629692030 + ... + 629692802.

It is an arithmetic number, because the mean of its divisors is an integer number (4944466800).

Almost surely, 2486752237568 is an apocalyptic number.

486752237568 is a gapful number since it is divisible by the number (48) 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 486752237568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712003219200).

486752237568 is an abundant number, since it is smaller than the sum of its proper divisors (937254200832).

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

486752237568 is a wasteful number, since it uses less digits than its factorization.

486752237568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1174 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 486752237568 in words is "four hundred eighty-six billion, seven hundred fifty-two million, two hundred thirty-seven thousand, five hundred sixty-eight".