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51422659187328 = 27341113211164377
BaseRepresentation
bin10111011000100110001010…
…10101011001001010000000
320202001221212112102001010000
423230103011111121022000
523220002101222443303
6301211124333040000
713555110301116612
oct1354230525311200
9222057775361100
1051422659187328
1115426255586180
125926080626000
13229019c8cb7b0
14c9ac27346db2
155e294c20cda3
hex2ec4c5559280

51422659187328 has 640 divisors, whose sum is σ = 180640191695040. Its totient is φ = 14315703091200.

The previous prime is 51422659187311. The next prime is 51422659187381. The reversal of 51422659187328 is 82378195622415.

It is a happy number.

51422659187328 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 2 + 6 + 591 + 8 + 7 + 32 + 8 = 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 79 ways as a sum of consecutive naturals, for example, 312751476 + ... + 312915852.

Almost surely, 251422659187328 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 51422659187328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90320095847520).

51422659187328 is an abundant number, since it is smaller than the sum of its proper divisors (129217532507712).

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

51422659187328 is a wasteful number, since it uses less digits than its factorization.

51422659187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164638 (or 164617 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 51422659187328 in words is "fifty-one trillion, four hundred twenty-two billion, six hundred fifty-nine million, one hundred eighty-seven thousand, three hundred twenty-eight".