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47743998016 = 261121321912
BaseRepresentation
bin101100011101110000…
…111001100001000000
311120020100202101200211
4230131300321201000
51240234430414031
633533331323504
73310066200331
oct543560714100
9146210671624
1047743998016
1119280273400
129305450594
13466b561100
14244cc76288
1513967b4bb1
hexb1dc39840

47743998016 has 189 divisors, whose sum is σ = 113358186669. Its totient is φ = 19927564800.

The previous prime is 47743998013. The next prime is 47743998031. The reversal of 47743998016 is 61089934774.

The square root of 47743998016 is 218504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7062721600 + 40681276416 = 84040^2 + 201696^2 .

It is not an unprimeable number, because it can be changed into a prime (47743998013) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 249968481 + ... + 249968671.

Almost surely, 247743998016 is an apocalyptic number.

47743998016 is the 218504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47743998016

47743998016 is an abundant number, since it is smaller than the sum of its proper divisors (65614188653).

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

47743998016 is a wasteful number, since it uses less digits than its factorization.

47743998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 47743998016 in words is "forty-seven billion, seven hundred forty-three million, nine hundred ninety-eight thousand, sixteen".