Search a number
-
+
74263032225 = 3352179614633
BaseRepresentation
bin100010100101001101…
…0111111000110100001
321002200111222220201000
41011022122333012201
52204042314012400
654041014302213
75236210234014
oct1051232770641
9232614886630
1074263032225
11295496002a8
1212486657969
1370066c2525
143846c7937b
151de99e1600
hex114a6bf1a1

74263032225 has 48 divisors (see below), whose sum is σ = 137186308800. Its totient is φ = 39385618560.

The previous prime is 74263032209. The next prime is 74263032269. The reversal of 74263032225 is 52223036247.

74263032225 is a `hidden beast` number, since 7 + 426 + 3 + 0 + 3 + 2 + 225 = 666.

It is not a de Polignac number, because 74263032225 - 24 = 74263032209 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 74263032225.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186492 + ... + 428141.

It is an arithmetic number, because the mean of its divisors is an integer number (2858048100).

Almost surely, 274263032225 is an apocalyptic number.

74263032225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

74263032225 is a deficient number, since it is larger than the sum of its proper divisors (62923276575).

74263032225 is a wasteful number, since it uses less digits than its factorization.

74263032225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614831 (or 614820 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 74263032225 in words is "seventy-four billion, two hundred sixty-three million, thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 179 225 537 675 895 1611 2685 4475 4833 8055 13425 24165 40275 120825 614633 1843899 3073165 5531697 9219495 15365825 16595091 27658485 46097475 82975455 110019307 138292425 330057921 414877275 550096535 990173763 1650289605 2750482675 2970521289 4950868815 8251448025 14852606445 24754344075 74263032225