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42346775076480 = 27325722353123083
BaseRepresentation
bin10011010000011101000000…
…11111000101111010000000
312112221022102120020222020200
421220032200133011322000
521022302143404421410
6230021501230405200
711630311364053500
oct1150164037057200
9175838376228220
1042346775076480
1112547191609456
1248bb109360800
131a8238c543484
14a658483a5a00
154d680ba7a3c0
hex2683a07c5e80

42346775076480 has 1152 divisors, whose sum is σ = 180849054222720. Its totient is φ = 9083664285696.

The previous prime is 42346775076479. The next prime is 42346775076481. The reversal of 42346775076480 is 8467057764324.

42346775076480 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 67 + 7 + 507 + 64 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42346775076479) and next prime (42346775076481).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42346775076481) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 343989019 + ... + 344112101.

It is an arithmetic number, because the mean of its divisors is an integer number (156987026235).

Almost surely, 242346775076480 is an apocalyptic number.

42346775076480 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 42346775076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90424527111360).

42346775076480 is an abundant number, since it is smaller than the sum of its proper divisors (138502279146240).

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

42346775076480 is a wasteful number, since it uses less digits than its factorization.

42346775076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123198 (or 123176 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 42346775076480 in words is "forty-two trillion, three hundred forty-six billion, seven hundred seventy-five million, seventy-six thousand, four hundred eighty".