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47193040440 = 233257132110813
BaseRepresentation
bin101011111100111011…
…001010011000111000
311111210222000211222200
4223330323022120320
51233122404243230
633402530350200
73260326140120
oct537473123070
9144728024880
1047193040440
1119018271867
129190a2b360
1345b1376b00
1423d9a17c80
151363233160
hexafceca638

47193040440 has 288 divisors, whose sum is σ = 189811084320. Its totient is φ = 9957123072.

The previous prime is 47193040439. The next prime is 47193040441. The reversal of 47193040440 is 4404039174.

It is an interprime number because it is at equal distance from previous prime (47193040439) and next prime (47193040441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47193040395 and 47193040404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47193040441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 370474 + ... + 481286.

It is an arithmetic number, because the mean of its divisors is an integer number (659066265).

Almost surely, 247193040440 is an apocalyptic number.

47193040440 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 47193040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94905542160).

47193040440 is an abundant number, since it is smaller than the sum of its proper divisors (142618043880).

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

47193040440 is a wasteful number, since it uses less digits than its factorization.

47193040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110863 (or 110843 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 47193040440 in words is "forty-seven billion, one hundred ninety-three million, forty thousand, four hundred forty".