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51973346656 = 257311795449
BaseRepresentation
bin110000011001110110…
…100101010101100000
311222011010000120100001
4300121312211111200
51322420134043111
635513133105344
73516643105000
oct603166452540
9158133016301
1051973346656
1120050665660
12a0a5928254
134b9384447a
14273084c000
151542c401c1
hexc19da5560

51973346656 has 192 divisors, whose sum is σ = 131846400000. Its totient is φ = 19989365760.

The previous prime is 51973346653. The next prime is 51973346687. The reversal of 51973346656 is 65664337915.

It is a junction number, because it is equal to n+sod(n) for n = 51973346597 and 51973346606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51973346653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9535420 + ... + 9540868.

It is an arithmetic number, because the mean of its divisors is an integer number (686700000).

Almost surely, 251973346656 is an apocalyptic number.

51973346656 is a gapful number since it is divisible by the number (56) 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 51973346656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65923200000).

51973346656 is an abundant number, since it is smaller than the sum of its proper divisors (79873053344).

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

51973346656 is a wasteful number, since it uses less digits than its factorization.

51973346656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5548 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 55.

The spelling of 51973346656 in words is "fifty-one billion, nine hundred seventy-three million, three hundred forty-six thousand, six hundred fifty-six".