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20332112311296 = 210322206175381
BaseRepresentation
bin1001001111101111100000…
…10101001111010000000000
32122222201201212100222010200
410213313300111033100000
510131110131222430141
6111124235441325200
74165642461054132
oct447676025172000
978881655328120
1020332112311296
116529889385085
1223445bb336800
13b46404cb6176
1450411817b052
15253d41818ab6
hex127df054f400

20332112311296 has 66 divisors (see below), whose sum is σ = 58708533090402. Its totient is φ = 6777370767360.

The previous prime is 20332112311279. The next prime is 20332112311309. The reversal of 20332112311296 is 69211321123302.

20332112311296 is a `hidden beast` number, since 2 + 0 + 3 + 321 + 1 + 231 + 12 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19751980262400 + 580132048896 = 4444320^2 + 761664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20332112311296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1103078475 + ... + 1103096906.

Almost surely, 220332112311296 is an apocalyptic number.

It is an amenable number.

20332112311296 is an abundant number, since it is smaller than the sum of its proper divisors (38376420779106).

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

20332112311296 is a wasteful number, since it uses less digits than its factorization.

20332112311296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206175407 (or 2206175386 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 20332112311296 its reverse (69211321123302), we get a palindrome (89543433434598).

The spelling of 20332112311296 in words is "twenty trillion, three hundred thirty-two billion, one hundred twelve million, three hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 2206175381 4412350762 6618526143 8824701524 13237052286 17649403048 19855578429 26474104572 35298806096 39711156858 52948209144 70597612192 79422313716 105896418288 141195224384 158844627432 211792836576 282390448768 317689254864 423585673152 564780897536 635378509728 847171346304 1129561795072 1270757019456 1694342692608 2259123590144 2541514038912 3388685385216 5083028077824 6777370770432 10166056155648 20332112311296