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47345497472 = 27713193167103
BaseRepresentation
bin101100000110000000…
…101111010110000000
311112012120220110201102
4230012000233112000
51233430421404342
633430014153532
73264160042220
oct540600572600
9145176813642
1047345497472
1119096332009
129213ab28a8
134606b26180
142411d82080
1513717ea832
hexb0602f580

47345497472 has 512 divisors, whose sum is σ = 129264844800. Its totient is φ = 16751370240.

The previous prime is 47345497429. The next prime is 47345497477. The reversal of 47345497472 is 27479454374.

It is a super-2 number, since 2×473454974722 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47345497477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459664973 + ... + 459665075.

It is an arithmetic number, because the mean of its divisors is an integer number (252470400).

Almost surely, 247345497472 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 47345497472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64632422400).

47345497472 is an abundant number, since it is smaller than the sum of its proper divisors (81919347328).

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

47345497472 is a wasteful number, since it uses less digits than its factorization.

47345497472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 56.

The spelling of 47345497472 in words is "forty-seven billion, three hundred forty-five million, four hundred ninety-seven thousand, four hundred seventy-two".