Search a number
-
+
65051445349440 = 26335112026933769
BaseRepresentation
bin11101100101001111110000…
…10010101100110001000000
322112022212011002000011201000
432302213320102230301000
532011300330002140230
6350204115455212000
716462545313104234
oct1662477022546100
9275285132004630
1065051445349440
1119800188015090
1273674a5517000
132a3b42bc7b614
14120c7147685c4
1577c20d9bab60
hex3b29f84acc40

65051445349440 has 448 divisors, whose sum is σ = 250369267104000. Its totient is φ = 15768802344960.

The previous prime is 65051445349403. The next prime is 65051445349519. The reversal of 65051445349440 is 4494354415056.

65051445349440 is a `hidden beast` number, since 6 + 5 + 0 + 5 + 14 + 4 + 534 + 94 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926348876 + ... + 1926382644.

Almost surely, 265051445349440 is an apocalyptic number.

65051445349440 is a gapful number since it is divisible by the number (60) 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 65051445349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125184633552000).

65051445349440 is an abundant number, since it is smaller than the sum of its proper divisors (185317821754560).

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

65051445349440 is a wasteful number, since it uses less digits than its factorization.

65051445349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54075 (or 54059 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

It can be divided in two parts, 650514 and 45349440, that added together give a palindrome (45999954).

The spelling of 65051445349440 in words is "sixty-five trillion, fifty-one billion, four hundred forty-five million, three hundred forty-nine thousand, four hundred forty".