Search a number
-
+
453294249408 = 263371113713691
BaseRepresentation
bin1101001100010100111…
…00010101010111000000
31121100000212002202021000
412212022130111113000
524411321311440113
6544123540532000
744515024355310
oct6461234252700
91540025082230
10453294249408
11165271871820
1273a273b1000
133398ca28a70
1417d22213440
15bbd05a7373
hex698a7155c0

453294249408 has 896 divisors, whose sum is σ = 1814918676480. Its totient is φ = 107122176000.

The previous prime is 453294249403. The next prime is 453294249469. The reversal of 453294249408 is 804942492354.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453294249403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122808843 + ... + 122812533.

It is an arithmetic number, because the mean of its divisors is an integer number (2025578880).

Almost surely, 2453294249408 is an apocalyptic number.

453294249408 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 453294249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907459338240).

453294249408 is an abundant number, since it is smaller than the sum of its proper divisors (1361624427072).

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

453294249408 is a wasteful number, since it uses less digits than its factorization.

453294249408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 453294249408 in words is "four hundred fifty-three billion, two hundred ninety-four million, two hundred forty-nine thousand, four hundred eight".