Search a number
-
+
45491237568 = 2632717963031
BaseRepresentation
bin101010010111011111…
…010011001011000000
311100102100210022022200
4222113133103023000
51221131224100233
632522015033200
73200213065530
oct522737231300
9140370708280
1045491237568
1118324688107
128996b0b800
13439c918a6a
1422b79c34c0
1512b3b25313
hexa977d32c0

45491237568 has 168 divisors, whose sum is σ = 149854798080. Its totient is φ = 12924679680.

The previous prime is 45491237557. The next prime is 45491237611. The reversal of 45491237568 is 86573219454.

It is a happy number.

45491237568 is a `hidden beast` number, since 4 + 5 + 49 + 1 + 2 + 37 + 568 = 666.

45491237568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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, 690213 + ... + 753243.

Almost surely, 245491237568 is an apocalyptic number.

45491237568 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 45491237568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74927399040).

45491237568 is an abundant number, since it is smaller than the sum of its proper divisors (104363560512).

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

45491237568 is a wasteful number, since it uses less digits than its factorization.

45491237568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63235 (or 63222 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 45491237568 in words is "forty-five billion, four hundred ninety-one million, two hundred thirty-seven thousand, five hundred sixty-eight".