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42796280448 = 273343614721
BaseRepresentation
bin100111110110110110…
…110110101010000000
311002110112202022011000
4213312312312222000
51200121321433243
631354344452000
73043350244635
oct476666665200
9132415668130
1042796280448
1117171425a19
12836447a000
1340604a978c
1420ddb0418c
1511a72395d3
hex9f6db6a80

42796280448 has 256 divisors, whose sum is σ = 131392483200. Its totient is φ = 13702348800.

The previous prime is 42796280393. The next prime is 42796280453. The reversal of 42796280448 is 84408269724.

42796280448 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 628 + 0 + 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 = 42796280394 and 42796280403.

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, 9062728 + ... + 9067448.

Almost surely, 242796280448 is an apocalyptic number.

42796280448 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 42796280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65696241600).

42796280448 is an abundant number, since it is smaller than the sum of its proper divisors (88596202752).

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

42796280448 is a wasteful number, since it uses less digits than its factorization.

42796280448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 42796280448 in words is "forty-two billion, seven hundred ninety-six million, two hundred eighty thousand, four hundred forty-eight".