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47983643136 = 293611132931
BaseRepresentation
bin101100101100000011…
…000100101000000000
311120212001200122000000
4230230003010220000
51241232303040021
634013212000000
73316036144212
oct545403045000
9146761618000
1047983643136
1119393574320
129371760000
1346a90b9560
142472a185b2
1513ac850b26
hexb2c0c4a00

47983643136 has 1120 divisors, whose sum is σ = 180333457920. Its totient is φ = 12541132800.

The previous prime is 47983643129. The next prime is 47983643159. The reversal of 47983643136 is 63134638974.

It is a happy number.

47983643136 is a `hidden beast` number, since 479 + 8 + 36 + 4 + 3 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1547859441 + ... + 1547859471.

It is an arithmetic number, because the mean of its divisors is an integer number (161012016).

Almost surely, 247983643136 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 47983643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90166728960).

47983643136 is an abundant number, since it is smaller than the sum of its proper divisors (132349814784).

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

47983643136 is a wasteful number, since it uses less digits than its factorization.

47983643136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 47983643136 in words is "forty-seven billion, nine hundred eighty-three million, six hundred forty-three thousand, one hundred thirty-six".