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2302426242032 = 247192347042053
BaseRepresentation
bin100001100000010011010…
…011000101101111110000
322011002222001011202002012
4201200103103011233300
5300210332104221112
64521415304542052
7325226161101350
oct41402323055760
98132861152065
102302426242032
118084a9653694
12312285a81928
1313916bc39247
147d61bd22b60
153ed58698022
hex218134c5bf0

2302426242032 has 80 divisors (see below), whose sum is σ = 5599886108160. Its totient is φ = 894175324416.

The previous prime is 2302426242023. The next prime is 2302426242037.

2302426242032 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2302426242032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302426242037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23472083 + ... + 23569970.

It is an arithmetic number, because the mean of its divisors is an integer number (69998576352).

Almost surely, 22302426242032 is an apocalyptic number.

It is an amenable number.

2302426242032 is an abundant number, since it is smaller than the sum of its proper divisors (3297459866128).

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

2302426242032 is a wasteful number, since it uses less digits than its factorization.

2302426242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47042110 (or 47042104 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

The spelling of 2302426242032 in words is "two trillion, three hundred two billion, four hundred twenty-six million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 23 28 38 46 56 76 92 112 133 152 161 184 266 304 322 368 437 532 644 874 1064 1288 1748 2128 2576 3059 3496 6118 6992 12236 24472 48944 47042053 94084106 188168212 329294371 376336424 658588742 752672848 893799007 1081967219 1317177484 1787598014 2163934438 2634354968 3575196028 4327868876 5268709936 6256593049 7150392056 7573770533 8655737752 12513186098 14300784112 15147541066 17311475504 20557377161 25026372196 30295082132 41114754322 50052744392 60590164264 82229508644 100105488784 121180328528 143901640127 164459017288 287803280254 328918034576 575606560508 1151213121016 2302426242032