Search a number
-
+
41674365520 = 245618539829
BaseRepresentation
bin100110110011111111…
…000101101001010000
310222120100200010012021
4212303333011221100
51140322114144040
631051150141224
73003505155634
oct466377055120
9128510603167
1041674365520
11167461026a7
1280b07b1814
133c11c24ba8
142034adcdc4
15113d9c524a
hex9b3fc5a50

41674365520 has 40 divisors (see below), whose sum is σ = 98481319560. Its totient is φ = 16396469760.

The previous prime is 41674365493. The next prime is 41674365527. The reversal of 41674365520 is 2556347614.

It can be written as a sum of positive squares in 4 ways, for example, as 380874256 + 41293491264 = 19516^2 + 203208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41674365527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4265035 + ... + 4274794.

It is an arithmetic number, because the mean of its divisors is an integer number (2462032989).

Almost surely, 241674365520 is an apocalyptic number.

41674365520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41674365520 is an abundant number, since it is smaller than the sum of its proper divisors (56806954040).

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

41674365520 is a wasteful number, since it uses less digits than its factorization.

41674365520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8539903 (or 8539897 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 41674365520 in words is "forty-one billion, six hundred seventy-four million, three hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 8539829 17079658 34159316 42699145 68318632 85398290 136637264 170796580 341593160 520929569 683186320 1041859138 2083718276 2604647845 4167436552 5209295690 8334873104 10418591380 20837182760 41674365520