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47266259040 = 25325711313271
BaseRepresentation
bin101100000001010010…
…011110000001100000
311112000001210202000200
4230001102132001200
51233300130242130
633414103545200
73262205400330
oct540122360140
9145001722020
1047266259040
1119055631000
1291b145b200
1345c35a1620
1424056370c0
151369897760
hexb0149e060

47266259040 has 1152 divisors, whose sum is σ = 219160940544. Its totient is φ = 9032601600.

The previous prime is 47266259021. The next prime is 47266259071. The reversal of 47266259040 is 4095266274.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174414105 + ... + 174414375.

It is an arithmetic number, because the mean of its divisors is an integer number (190243872).

Almost surely, 247266259040 is an apocalyptic number.

47266259040 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 47266259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109580470272).

47266259040 is an abundant number, since it is smaller than the sum of its proper divisors (171894681504).

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

47266259040 is a wasteful number, since it uses less digits than its factorization.

47266259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 47266259040 in words is "forty-seven billion, two hundred sixty-six million, two hundred fifty-nine thousand, forty".