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42176589312 = 2931113533623
BaseRepresentation
bin100111010001111010…
…111010111000000000
311000212100200201201110
4213101322322320000
51142334201324222
631213050403320
73022114044144
oct472172727000
9130770621643
1042176589312
1116983648890
128210a30540
133c91ca8230
1420816b3224
15116cb2c30c
hex9d1ebae00

42176589312 has 320 divisors, whose sum is σ = 134532389376. Its totient is φ = 11571855360.

The previous prime is 42176589211. The next prime is 42176589353. The reversal of 42176589312 is 21398567124.

It is a super-2 number, since 2×421765893122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11639533 + ... + 11643155.

Almost surely, 242176589312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42176589312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67266194688).

42176589312 is an abundant number, since it is smaller than the sum of its proper divisors (92355800064).

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

42176589312 is a wasteful number, since it uses less digits than its factorization.

42176589312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3705 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 42176589312 in words is "forty-two billion, one hundred seventy-six million, five hundred eighty-nine thousand, three hundred twelve".