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47890186240 = 214513193233
BaseRepresentation
bin101100100110011110…
…100100000000000000
311120121112211112020111
4230212132210000000
51241034341424430
634000032521104
73313522603141
oct544636440000
9146545745214
1047890186240
1119345841816
1293463b0194
134692927010
14246444bac8
1513a453ec2a
hexb267a4000

47890186240 has 240 divisors, whose sum is σ = 124949221488. Its totient is φ = 17515413504.

The previous prime is 47890186237. The next prime is 47890186241. The reversal of 47890186240 is 4268109874.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13537787904 + 34352398336 = 116352^2 + 185344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47890186241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205537164 + ... + 205537396.

Almost surely, 247890186240 is an apocalyptic number.

47890186240 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 47890186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62474610744).

47890186240 is an abundant number, since it is smaller than the sum of its proper divisors (77059035248).

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

47890186240 is a wasteful number, since it uses less digits than its factorization.

47890186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 47890186240 in words is "forty-seven billion, eight hundred ninety million, one hundred eighty-six thousand, two hundred forty".