Search a number
-
+
741866451040 = 2551113293136067
BaseRepresentation
bin10101100101110101010…
…11111011000001100000
32121220212221121110201201
422302322223323001200
544123320302413130
61324450404410544
7104412066534361
oct12627253730140
92556787543651
10741866451040
112666952a8a60
12bb9416a6a54
1354c5b1078b0
1427c99725b68
151446e871bca
hexacbaafb060

741866451040 has 384 divisors, whose sum is σ = 2198843781120. Its totient is φ = 232668979200.

The previous prime is 741866451037. The next prime is 741866451041. The reversal of 741866451040 is 40154668147.

741866451040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741866451041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20551087 + ... + 20587153.

It is an arithmetic number, because the mean of its divisors is an integer number (5726155680).

Almost surely, 2741866451040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 741866451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099421890560).

741866451040 is an abundant number, since it is smaller than the sum of its proper divisors (1456977330080).

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

741866451040 is a wasteful number, since it uses less digits than its factorization.

741866451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36166 (or 36158 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 741866451040 in words is "seven hundred forty-one billion, eight hundred sixty-six million, four hundred fifty-one thousand, forty".