Search a number
-
+
749255323050 = 233521332931281
BaseRepresentation
bin10101110011100110001…
…10001110110110101010
32122121221220002001122000
422321303012032312222
544233433330314200
61332111513511430
7105063150110313
oct12716306166652
92577856061560
10749255323050
11269837107953
12101264112576
1355867b57000
142839ab8b60a
15147533a2300
hexae7318edaa

749255323050 has 768 divisors, whose sum is σ = 2396846592000. Its totient is φ = 171714816000.

The previous prime is 749255323049. The next prime is 749255323067. The reversal of 749255323050 is 50323552947.

749255323050 is a `hidden beast` number, since 7 + 4 + 92 + 553 + 2 + 3 + 0 + 5 + 0 = 666.

It is a super-2 number, since 2×7492553230502 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 749255322987 and 749255323005.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2666388910 + ... + 2666389190.

It is an arithmetic number, because the mean of its divisors is an integer number (3120894000).

Almost surely, 2749255323050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749255323050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198423296000).

749255323050 is an abundant number, since it is smaller than the sum of its proper divisors (1647591268950).

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

749255323050 is a wasteful number, since it uses less digits than its factorization.

749255323050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

Adding to 749255323050 its reverse (50323552947), we get a palindrome (799578875997).

The spelling of 749255323050 in words is "seven hundred forty-nine billion, two hundred fifty-five million, three hundred twenty-three thousand, fifty".