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245443268448 = 25347137293337
BaseRepresentation
bin1110010010010110001…
…1110000111101100000
3212110112100210220120000
43210211203300331200
513010131434042243
6304431033020000
723506212234060
oct3444543607540
9773470726500
10245443268448
1195101365404
123b69a554600
131a1b7011031
14bc455793a0
1565b7c715d3
hex39258f0f60

245443268448 has 480 divisors, whose sum is σ = 836294082624. Its totient is φ = 69171314688.

The previous prime is 245443268443. The next prime is 245443268531. The reversal of 245443268448 is 844862344542.

245443268448 is a `hidden beast` number, since 2 + 4 + 544 + 32 + 68 + 4 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 245443268394 and 245443268403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245443268443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 728318136 + ... + 728318472.

Almost surely, 2245443268448 is an apocalyptic number.

245443268448 is a gapful number since it is divisible by the number (28) 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 245443268448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418147041312).

245443268448 is an abundant number, since it is smaller than the sum of its proper divisors (590850814176).

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

245443268448 is a wasteful number, since it uses less digits than its factorization.

245443268448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 779 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 54.

The spelling of 245443268448 in words is "two hundred forty-five billion, four hundred forty-three million, two hundred sixty-eight thousand, four hundred forty-eight".