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21152225121216 = 263723684272293
BaseRepresentation
bin1001100111100111000101…
…10111010101001111000000
32202220010120221022022111020
410303303202313111033000
510233024224112334331
6112553110441145440
74312124566660020
oct463634267251700
982803527268436
1021152225121216
116815676709632
12245753948b280
13ba5852b177a7
14531ab7791a80
1526a34070bc96
hex133ce2dd53c0

21152225121216 has 112 divisors (see below), whose sum is σ = 66741182467584. Its totient is φ = 5780732322816.

The previous prime is 21152225121211. The next prime is 21152225121257. The reversal of 21152225121216 is 61212152225112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21152225121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342105235 + ... + 342167058.

Almost surely, 221152225121216 is an apocalyptic number.

It is an amenable number.

21152225121216 is an abundant number, since it is smaller than the sum of its proper divisors (45588957346368).

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

21152225121216 is a wasteful number, since it uses less digits than its factorization.

21152225121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684272338 (or 684272328 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

Adding to 21152225121216 its reverse (61212152225112), we get a palindrome (82364377346328).

The spelling of 21152225121216 in words is "twenty-one trillion, one hundred fifty-two billion, two hundred twenty-five million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 684272293 1368544586 2052816879 2737089172 4105633758 4789906051 5474178344 8211267516 9579812102 10948356688 14369718153 15738262739 16422535032 19159624204 21896713376 28739436306 31476525478 32845070064 38319248408 43793426752 47214788217 57478872612 62953050956 65690140128 76638496816 94429576434 110167839173 114957745224 125906101912 131380280256 153276993632 188859152868 220335678346 229915490448 251812203824 306553987264 330503517519 377718305736 440671356692 459830980896 503624407648 661007035038 755436611472 881342713384 919661961792 1007248815296 1322014070076 1510873222944 1762685426768 2644028140152 3021746445888 3525370853536 5288056280304 7050741707072 10576112560608 21152225121216