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42522278976 = 26321729314821
BaseRepresentation
bin100111100110100001…
…100111110001000000
311001202110011120210100
4213212201213301000
51144041200411401
631311240002400
73033512256552
oct474641476100
9131673146710
1042522278976
1117040799621
1282a8760400
1340187b2528
1420b557b4d2
15118d163b86
hex9e6867c40

42522278976 has 168 divisors, whose sum is σ = 129501177624. Its totient is φ = 13293895680.

The previous prime is 42522278923. The next prime is 42522278999. The reversal of 42522278976 is 67987222524.

42522278976 is a `hidden beast` number, since 4 + 2 + 522 + 27 + 8 + 97 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21264638976 + 21257640000 = 145824^2 + 145800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2861646 + ... + 2876466.

It is an arithmetic number, because the mean of its divisors is an integer number (770840343).

Almost surely, 242522278976 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 42522278976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64750588812).

42522278976 is an abundant number, since it is smaller than the sum of its proper divisors (86978898648).

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

42522278976 is a wasteful number, since it uses less digits than its factorization.

42522278976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15149 (or 15136 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 42522278976 in words is "forty-two billion, five hundred twenty-two million, two hundred seventy-eight thousand, nine hundred seventy-six".