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248844044085 = 35713237379009
BaseRepresentation
bin1110011111000001000…
…0101100011100110101
3212210022100222012201020
43213300100230130311
513034113033402320
6310152315251353
723656405321620
oct3476020543465
9783270865636
10248844044085
1196596a8048a
1240289449b59
131a609748c00
14c0890a8db7
1567165cd940
hex39f042c735

248844044085 has 96 divisors (see below), whose sum is σ = 506042023680. Its totient is φ = 102168428544.

The previous prime is 248844044083. The next prime is 248844044087. The reversal of 248844044085 is 580440448842.

It is a happy number.

248844044085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248844044083) and next prime (248844044087).

It is not a de Polignac number, because 248844044085 - 21 = 248844044083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248844044081) 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 95 ways as a sum of consecutive naturals, for example, 467061 + ... + 846069.

It is an arithmetic number, because the mean of its divisors is an integer number (5271271080).

Almost surely, 2248844044085 is an apocalyptic number.

It is an amenable number.

248844044085 is an abundant number, since it is smaller than the sum of its proper divisors (257197979595).

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

248844044085 is a wasteful number, since it uses less digits than its factorization.

248844044085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379087 (or 379074 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 51.

The spelling of 248844044085 in words is "two hundred forty-eight billion, eight hundred forty-four million, forty-four thousand, eighty-five".

Divisors: 1 3 5 7 13 15 21 35 37 39 65 91 105 111 169 185 195 259 273 455 481 507 555 777 845 1183 1295 1365 1443 2405 2535 3367 3549 3885 5915 6253 7215 10101 16835 17745 18759 31265 43771 50505 93795 131313 218855 379009 656565 1137027 1895045 2653063 4927117 5685135 7959189 13265315 14023333 14781351 24635585 34489819 39795945 42069999 64052521 70116665 73906755 98163331 103469457 172449095 182303329 192157563 210349995 294489993 320262605 448367647 490816655 517347285 546909987 911516645 960787815 1276123303 1345102941 1472449965 2241838235 2369943277 2734549935 3828369909 6380616515 6725514705 7109829831 11849716385 16589602939 19141849545 35549149155 49768808817 82948014695 248844044085