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42750293861484 = 223311151557427849
BaseRepresentation
bin10011011100001100101000…
…00101000110010001101100
312121100212222111001010211000
421232012110011012101230
521100410100212031414
6230531114110400300
712001415064123066
oct1156062405062154
9177325874033730
1042750293861484
1112692330429030
124965362b00090
131ab1448b97501
14a7b1a7a16736
154e2077341b09
hex26e19414646c

42750293861484 has 192 divisors, whose sum is σ = 121929446016000. Its totient is φ = 12845708352000.

The previous prime is 42750293861461. The next prime is 42750293861603. The reversal of 42750293861484 is 48416839205724.

42750293861484 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 0 + 2 + 9 + 3 + 8 + 614 + 8 + 4 = 666.

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 63 ways as a sum of consecutive naturals, for example, 99705192 + ... + 100133040.

It is an arithmetic number, because the mean of its divisors is an integer number (635049198000).

It is a 1-persistent number, because it is pandigital, but 2⋅42750293861484 = 85500587722968 is not.

Almost surely, 242750293861484 is an apocalyptic number.

42750293861484 is a gapful number since it is divisible by the number (44) 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 42750293861484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60964723008000).

42750293861484 is an abundant number, since it is smaller than the sum of its proper divisors (79179152154516).

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

42750293861484 is a wasteful number, since it uses less digits than its factorization.

42750293861484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428581 (or 428573 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 42750293861484 in words is "forty-two trillion, seven hundred fifty billion, two hundred ninety-three million, eight hundred sixty-one thousand, four hundred eighty-four".