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42782227320 = 23357223316343
BaseRepresentation
bin100111110110000001…
…001111101101111000
311002102120022022212210
4213312001033231320
51200104222233240
631353123335120
73043116634500
oct476601175570
9132376268783
1042782227320
11171644a7668
12835b8214a0
13405a5c9111
1420dbcc6a00
1511a5db0780
hex9f604fb78

42782227320 has 192 divisors, whose sum is σ = 155793093120. Its totient is φ = 9353600256.

The previous prime is 42782227303. The next prime is 42782227321. The reversal of 42782227320 is 2372228724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42782227321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22932 + ... + 293411.

It is an arithmetic number, because the mean of its divisors is an integer number (811422360).

Almost surely, 242782227320 is an apocalyptic number.

42782227320 is a gapful number since it is divisible by the number (40) 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 42782227320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77896546560).

42782227320 is an abundant number, since it is smaller than the sum of its proper divisors (113010865800).

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

42782227320 is a wasteful number, since it uses less digits than its factorization.

42782227320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316394 (or 316383 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 42782227320 in words is "forty-two billion, seven hundred eighty-two million, two hundred twenty-seven thousand, three hundred twenty".