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42343004006550 = 233521331210932297
BaseRepresentation
bin10011010000010101111111…
…01101100110100010010110
312112220221200202022202211000
421220022333231212202112
521022221433011202200
6230020035115324130
711630116053355512
oct1150127755464226
9175827622282730
1042343004006550
1112545626977835
1248ba436450646
131a81c0b198050
14a655ab605142
154d668a976300
hex2682bfb66896

42343004006550 has 576 divisors, whose sum is σ = 130013236745280. Its totient is φ = 10073055283200.

The previous prime is 42343004006543. The next prime is 42343004006573. The reversal of 42343004006550 is 5560040034324.

42343004006550 is a `hidden beast` number, since 4 + 2 + 34 + 30 + 0 + 40 + 0 + 6 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18434045002 + ... + 18434047298.

It is an arithmetic number, because the mean of its divisors is an integer number (225717424905).

Almost surely, 242343004006550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42343004006550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65006618372640).

42343004006550 is an abundant number, since it is smaller than the sum of its proper divisors (87670232738730).

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

42343004006550 is a wasteful number, since it uses less digits than its factorization.

42343004006550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 42343004006550 in words is "forty-two trillion, three hundred forty-three billion, four million, six thousand, five hundred fifty".