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2053562113344 = 26373137487073
BaseRepresentation
bin11101111000100001110…
…101110001110101000000
321021022121021102010110210
4131320201311301311000
5232121143400111334
64211220550554120
7301236116645640
oct35704165616500
97238537363423
102053562113344
11721a02305365
12291bb1968940
1311b85b2aa571
147157030a520
153864044d5e9
hex1de21d71d40

2053562113344 has 112 divisors (see below), whose sum is σ = 6211572893568. Its totient is φ = 586543792128.

The previous prime is 2053562113331. The next prime is 2053562113373. The reversal of 2053562113344 is 4433112653502.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3972592 + ... + 4459664.

It is an arithmetic number, because the mean of its divisors is an integer number (55460472264).

Almost surely, 22053562113344 is an apocalyptic number.

2053562113344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053562113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105786446784).

2053562113344 is an abundant number, since it is smaller than the sum of its proper divisors (4158010780224).

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

2053562113344 is a wasteful number, since it uses less digits than its factorization.

2053562113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490232 (or 490222 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 2053562113344 its reverse (4433112653502), we get a palindrome (6486674766846).

The spelling of 2053562113344 in words is "two trillion, fifty-three billion, five hundred sixty-two million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3137 6274 9411 12548 18822 21959 25096 37644 43918 50192 65877 75288 87836 100384 131754 150576 175672 200768 263508 301152 351344 487073 527016 602304 702688 974146 1054032 1405376 1461219 1948292 2108064 2922438 3409511 3896584 4216128 5844876 6819022 7793168 10228533 11689752 13638044 15586336 20457066 23379504 27276088 31172672 40914132 46759008 54552176 81828264 93518016 109104352 163656528 218208704 327313056 654626112 1527948001 3055896002 4583844003 6111792004 9167688006 10695636007 12223584008 18335376012 21391272014 24447168016 32086908021 36670752024 42782544028 48894336032 64173816042 73341504048 85565088056 97788672064 128347632084 146683008096 171130176112 256695264168 293366016192 342260352224 513390528336 684520704448 1026781056672 2053562113344