Search a number
-
+
2363542453632 = 273831014011831
BaseRepresentation
bin100010011001001110000…
…110111011110110000000
322100221201100002222021210
4202121032012323312000
5302211013332004012
65005444005250120
7332521533242313
oct42311606736600
98327640088253
102363542453632
11831411108a78
123220a1703940
13141b5ba02069
1482578b3497a
1541733dd523c
hex2264e1bbd80

2363542453632 has 256 divisors, whose sum is σ = 6436224023040. Its totient is φ = 768307200000.

The previous prime is 2363542453609. The next prime is 2363542453669.

2363542453632 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1290846957 + ... + 1290848787.

It is an arithmetic number, because the mean of its divisors is an integer number (25141500090).

Almost surely, 22363542453632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2363542453632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218112011520).

2363542453632 is an abundant number, since it is smaller than the sum of its proper divisors (4072681569408).

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

2363542453632 is a wasteful number, since it uses less digits than its factorization.

2363542453632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2421 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 48.

The spelling of 2363542453632 in words is "two trillion, three hundred sixty-three billion, five hundred forty-two million, four hundred fifty-three thousand, six hundred thirty-two".