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47100713328 = 243619283751
BaseRepresentation
bin101011110111011010…
…111101100101110000
311111120112022011000000
4223313122331211300
51232430240311303
633345431430000
73255125312634
oct536732754560
9144515264000
1047100713328
1118a80141069
129165b25300
1345981bb896
1423cb662dc4
15135a096da3
hexaf76bd970

47100713328 has 280 divisors, whose sum is σ = 144726490880. Its totient is φ = 14801616000.

The previous prime is 47100713327. The next prime is 47100713437. The reversal of 47100713328 is 82331700174.

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 = 47100713292 and 47100713301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47100713327) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 62716953 + ... + 62717703.

Almost surely, 247100713328 is an apocalyptic number.

47100713328 is a gapful number since it is divisible by the number (48) 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 47100713328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72363245440).

47100713328 is an abundant number, since it is smaller than the sum of its proper divisors (97625777552).

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

47100713328 is a wasteful number, since it uses less digits than its factorization.

47100713328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 47100713328 in words is "forty-seven billion, one hundred million, seven hundred thirteen thousand, three hundred twenty-eight".