Search a number
-
+
5228720640000 = 21233541113232
BaseRepresentation
bin100110000010110100000…
…0010010101000000000000
3200111212020112100111022000
41030011220002111000000
51141131404440440000
615042012513344000
71046522400060354
oct114055002250000
920455215314260
105228720640000
111736540541680
1270543bb68000
132bc0b26b9080
14141100005464
159102730a000
hex4c168095000

5228720640000 has 3120 divisors, whose sum is σ = 23772910983360. Its totient is φ = 1119191040000.

The previous prime is 5228720639969. The next prime is 5228720640019. The reversal of 5228720640000 is 460278225.

5228720640000 is a `hidden beast` number, since 5 + 2 + 2 + 8 + 7 + 2 + 0 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 227335679989 + ... + 227335680011.

Almost surely, 25228720640000 is an apocalyptic number.

5228720640000 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 5228720640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886455491680).

5228720640000 is an abundant number, since it is smaller than the sum of its proper divisors (18544190343360).

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

5228720640000 is a wasteful number, since it uses less digits than its factorization.

5228720640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 5228720640000 in words is "five trillion, two hundred twenty-eight billion, seven hundred twenty million, six hundred forty thousand".