Search a number
-
+
6225703658496 = 2103272472792
BaseRepresentation
bin101101010011000100011…
…0110101110010000000000
3211001011121222210101012100
41122212020312232100000
51304000220114032441
621124014311430400
71211535511646100
oct132461066562000
924034558711170
106225703658496
111a90340458723
128466bb685400
13362109905b4a
1417747b8a5200
15abe28c75cb6
hex5a988dae400

6225703658496 has 891 divisors, whose sum is σ = 21639807845019. Its totient is φ = 1718889209856.

The previous prime is 6225703658453. The next prime is 6225703658497. The reversal of 6225703658496 is 6948563075226.

The square root of 6225703658496 is 2495136.

It is a perfect power (a square), and thus also a powerful number.

6225703658496 is a `hidden beast` number, since 6 + 2 + 2 + 570 + 3 + 6 + 58 + 4 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6225703658497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 78806375385 + ... + 78806375463.

Almost surely, 26225703658496 is an apocalyptic number.

6225703658496 is the 2495136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6225703658496

6225703658496 is an abundant number, since it is smaller than the sum of its proper divisors (15414104186523).

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

6225703658496 is an equidigital number, since it uses as much as digits as its factorization.

6225703658496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 6225703658496 in words is "six trillion, two hundred twenty-five billion, seven hundred three million, six hundred fifty-eight thousand, four hundred ninety-six".