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47456706438 = 2333156949823
BaseRepresentation
bin101100001100101000…
…111101111110000110
311112111100011110202000
4230030220331332012
51234142404101223
633445025530130
73300010230501
oct541450757606
9145440143660
1047456706438
1119143089a49
1292451a3946
134623b928ab
142422a50138
15137b466543
hexb0ca3df86

47456706438 has 64 divisors (see below), whose sum is σ = 109054771200. Its totient is φ = 15281403840.

The previous prime is 47456706433. The next prime is 47456706461. The reversal of 47456706438 is 83460765474.

47456706438 is a `hidden beast` number, since 4 + 74 + 567 + 0 + 6 + 4 + 3 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47456706431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927595 + ... + 977417.

It is an arithmetic number, because the mean of its divisors is an integer number (1703980800).

Almost surely, 247456706438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47456706438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54527385600).

47456706438 is an abundant number, since it is smaller than the sum of its proper divisors (61598064762).

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

47456706438 is a wasteful number, since it uses less digits than its factorization.

47456706438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50434 (or 50428 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 47456706438 in words is "forty-seven billion, four hundred fifty-six million, seven hundred six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 569 837 1138 1674 1707 3414 5121 10242 15363 17639 30726 35278 49823 52917 99646 105834 149469 158751 298938 317502 448407 476253 896814 952506 1345221 1544513 2690442 3089026 4633539 9267078 13900617 27801234 28349287 41701851 56698574 83403702 85047861 170095722 255143583 510287166 765430749 878827897 1530861498 1757655794 2636483691 5272967382 7909451073 15818902146 23728353219 47456706438