Search a number
-
+
491229543168 = 28337135211499
BaseRepresentation
bin1110010010111111000…
…11111111101100000000
31201221221122001100021000
413021133203333230000
531022014230340133
61013400121532000
750330061136350
oct7113743775400
91657848040230
10491229543168
1117a3692a8471
127b253944000
13374270c9b50
1419ac04c0b60
15cba0b99413
hex725f8ffb00

491229543168 has 576 divisors, whose sum is σ = 1792506240000. Its totient is φ = 129220116480.

The previous prime is 491229543137. The next prime is 491229543169. The reversal of 491229543168 is 861345922194.

It is a happy number.

491229543168 is a `hidden beast` number, since 4 + 9 + 12 + 29 + 543 + 1 + 68 = 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 (54).

It is not an unprimeable number, because it can be changed into a prime (491229543169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327704083 + ... + 327705581.

It is an arithmetic number, because the mean of its divisors is an integer number (3111990000).

Almost surely, 2491229543168 is an apocalyptic number.

491229543168 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 491229543168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896253120000).

491229543168 is an abundant number, since it is smaller than the sum of its proper divisors (1301276696832).

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

491229543168 is a wasteful number, since it uses less digits than its factorization.

491229543168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2045 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 491229543168 in words is "four hundred ninety-one billion, two hundred twenty-nine million, five hundred forty-three thousand, one hundred sixty-eight".