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47072254788 = 22341321761829
BaseRepresentation
bin101011110101101110…
…011001101101000100
311111111112202022020000
4223311232121231010
51232400444123123
633342533441300
73254331364266
oct536556315504
9144445668200
1047072254788
1118a66073809
1291584a0230
134592336400
1423c7975b36
151357824b43
hexaf5b99b44

47072254788 has 360 divisors, whose sum is σ = 143574326280. Its totient is φ = 13392138240.

The previous prime is 47072254721. The next prime is 47072254813. The reversal of 47072254788 is 88745227074.

47072254788 is a `hidden beast` number, since 4 + 70 + 7 + 22 + 547 + 8 + 8 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28866689604 + 18205565184 = 169902^2 + 134928^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56781558 + ... + 56782386.

It is an arithmetic number, because the mean of its divisors is an integer number (398817573).

Almost surely, 247072254788 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 47072254788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71787163140).

47072254788 is an abundant number, since it is smaller than the sum of its proper divisors (96502071492).

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

47072254788 is a wasteful number, since it uses less digits than its factorization.

47072254788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The spelling of 47072254788 in words is "forty-seven billion, seventy-two million, two hundred fifty-four thousand, seven hundred eighty-eight".