Search a number
-
+
74841606225 = 32521719566433
BaseRepresentation
bin100010110110011101…
…0000100100001010001
321011011211200112000200
41011230322010201101
52211233422344400
654214243205413
75256434104461
oct1055472044121
9234154615020
1074841606225
1129816154531
1212608376869
1370995288c9
14389da45ba1
151e306cab00
hex116ce84851

74841606225 has 36 divisors (see below), whose sum is σ = 141934912236. Its totient is φ = 37567549440.

The previous prime is 74841606221. The next prime is 74841606227. The reversal of 74841606225 is 52260614847.

74841606225 is a `hidden beast` number, since 7 + 4 + 8 + 4 + 16 + 0 + 622 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2702736 + 74838903489 = 1644^2 + 273567^2 .

It is not a de Polignac number, because 74841606225 - 22 = 74841606221 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (74841606221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9779392 + ... + 9787041.

It is an arithmetic number, because the mean of its divisors is an integer number (3942636451).

Almost surely, 274841606225 is an apocalyptic number.

74841606225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

74841606225 is a deficient number, since it is larger than the sum of its proper divisors (67093306011).

74841606225 is a wasteful number, since it uses less digits than its factorization.

74841606225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19566466 (or 19566458 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 7484160 and 6225, that added together give a triangular number (7490385 = T3870).

The spelling of 74841606225 in words is "seventy-four billion, eight hundred forty-one million, six hundred six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 19566433 58699299 97832165 176097897 293496495 332629361 489160825 880489485 997888083 1467482475 1663146805 2993664249 4402447425 4989440415 8315734025 14968321245 24947202075 74841606225