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47731145904 = 243213231151419
BaseRepresentation
bin101100011100111111…
…110111110010110000
311120012110120102220200
4230130333313302300
51240223133132104
633532152035200
73306552021531
oct543477676260
9146173512820
1047731145904
1119273a95422
129301092b00
1346689b1300
14244b28c688
1513955c6b39
hexb1cff7cb0

47731145904 has 360 divisors, whose sum is σ = 150660357120. Its totient is φ = 14084928000.

The previous prime is 47731145867. The next prime is 47731145933. The reversal of 47731145904 is 40954113774.

It is a happy number.

47731145904 is a `hidden beast` number, since 47 + 7 + 3 + 1 + 14 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 47731145904.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113916607 + ... + 113917025.

It is an arithmetic number, because the mean of its divisors is an integer number (418500992).

Almost surely, 247731145904 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 47731145904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75330178560).

47731145904 is an abundant number, since it is smaller than the sum of its proper divisors (102929211216).

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

47731145904 is a wasteful number, since it uses less digits than its factorization.

47731145904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 47731145904 in words is "forty-seven billion, seven hundred thirty-one million, one hundred forty-five thousand, nine hundred four".