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42265116480 = 2635231999619
BaseRepresentation
bin100111010111001100…
…100111111101000000
311001002112021101011110
4213113030213331000
51143024332211410
631225532043320
73024240363636
oct472714477500
9131075241143
1042265116480
1116a19613634
128236603540
133ca7432982
14208d359356
1511757b7720
hex9d7327f40

42265116480 has 224 divisors, whose sum is σ = 140744448000. Its totient is φ = 10725378048.

The previous prime is 42265116463. The next prime is 42265116529. The reversal of 42265116480 is 8461156224.

It is a happy number.

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, 4389111 + ... + 4398729.

Almost surely, 242265116480 is an apocalyptic number.

42265116480 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 42265116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70372224000).

42265116480 is an abundant number, since it is smaller than the sum of its proper divisors (98479331520).

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

42265116480 is a wasteful number, since it uses less digits than its factorization.

42265116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9861 (or 9851 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 42265116480 in words is "forty-two billion, two hundred sixty-five million, one hundred sixteen thousand, four hundred eighty".