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47146027440 = 24352397191461
BaseRepresentation
bin101011111010000111…
…110100100110110000
311111200200120100021110
4223322013310212300
51233023340334230
633354130553320
73256215423021
oct537207644660
9144620510243
1047146027440
1118aa3781246
129179138840
1345a46c6175
1423d369ac48
15135e0484b0
hexafa1f49b0

47146027440 has 320 divisors, whose sum is σ = 155222065152. Its totient is φ = 11813683200.

The previous prime is 47146027429. The next prime is 47146027457. The reversal of 47146027440 is 4472064174.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 102268810 + ... + 102269270.

Almost surely, 247146027440 is an apocalyptic number.

47146027440 is a gapful number since it is divisible by the number (40) 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 47146027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77611032576).

47146027440 is an abundant number, since it is smaller than the sum of its proper divisors (108076037712).

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

47146027440 is a wasteful number, since it uses less digits than its factorization.

47146027440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 47146027440 in words is "forty-seven billion, one hundred forty-six million, twenty-seven thousand, four hundred forty".