Search a number
-
+
74141549664 = 25371314515849
BaseRepresentation
bin100010100001100101…
…1100100010001100000
321002101001101221221220
41011003023210101200
52203320214042124
654020554415040
75233203526320
oct1050313442140
9232331357856
1074141549664
1129496a76696
1212451a31480
136cb7499860
143834a95280
151dddee6879
hex11432e4460

74141549664 has 192 divisors, whose sum is σ = 239740300800. Its totient is φ = 19536998400.

The previous prime is 74141549641. The next prime is 74141549731. The reversal of 74141549664 is 46694514147.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12673012 + ... + 12678860.

It is an arithmetic number, because the mean of its divisors is an integer number (1248647400).

Almost surely, 274141549664 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 74141549664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119870150400).

74141549664 is an abundant number, since it is smaller than the sum of its proper divisors (165598751136).

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

74141549664 is a wasteful number, since it uses less digits than its factorization.

74141549664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333 (or 7325 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 74141549664 in words is "seventy-four billion, one hundred forty-one million, five hundred forty-nine thousand, six hundred sixty-four".