Search a number
-
+
4425151245200 = 245272817517489
BaseRepresentation
bin100000001100100111110…
…0100010110101110010000
3120200001002101202201010222
41000121033210112232100
51040000202204321300
613224515244412212
7634464241652450
oct100311744265620
916601071681128
104425151245200
111456772572824
125b575a247068
132613a00b6b8a
1411426d9b9d60
157a19599e785
hex4064f916b90

4425151245200 has 240 divisors, whose sum is σ = 12211306759680. Its totient is φ = 1509580800000.

The previous prime is 4425151245149. The next prime is 4425151245217. The reversal of 4425151245200 is 25421515244.

It is a super-2 number, since 2×44251512452002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590883056 + ... + 590890544.

It is an arithmetic number, because the mean of its divisors is an integer number (50880444832).

Almost surely, 24425151245200 is an apocalyptic number.

4425151245200 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 4425151245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105653379840).

4425151245200 is an abundant number, since it is smaller than the sum of its proper divisors (7786155514480).

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

4425151245200 is a wasteful number, since it uses less digits than its factorization.

4425151245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 4425151245200 in words is "four trillion, four hundred twenty-five billion, one hundred fifty-one million, two hundred forty-five thousand, two hundred".