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5729730048000 = 212375371743
BaseRepresentation
bin101001101100000111010…
…0001100011000000000000
3202021202102201221110000000
41103120032201203000000
51222333441343014000
620104111320000000
71130650023553350
oct123301641430000
922252381843000
105729730048000
111909a68269262
12786563000000
133274079b928a
1415b46b304b60
159e09b87c000
hex5360e863000

5729730048000 has 3328 divisors, whose sum is σ = 26555258695680. Its totient is φ = 1203948748800.

The previous prime is 5729730047969. The next prime is 5729730048001. The reversal of 5729730048000 is 8400379275.

5729730048000 is a `hidden beast` number, since 57 + 2 + 97 + 30 + 0 + 480 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5729730048001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 133249535979 + ... + 133249536021.

It is an arithmetic number, because the mean of its divisors is an integer number (7979344560).

Almost surely, 25729730048000 is an apocalyptic number.

5729730048000 is a gapful number since it is divisible by the number (50) 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 5729730048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277629347840).

5729730048000 is an abundant number, since it is smaller than the sum of its proper divisors (20825528647680).

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

5729730048000 is an frugal number, since it uses more digits than its factorization.

5729730048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 5729730048000 in words is "five trillion, seven hundred twenty-nine billion, seven hundred thirty million, forty-eight thousand".