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21113546814432 = 2532211347445149
BaseRepresentation
bin1001100110011111000010…
…11101010011001111100000
32202202102202101020202020100
410303033201131103033200
510231411020441030212
6112523232434542400
74306255241540142
oct463174135231740
982672671222210
1021113546814432
116800228825236
12244bb44137a00
13ba1cca827227
1452dc88950c92
15269329c9cbdc
hex1333e17533e0

21113546814432 has 72 divisors (see below), whose sum is σ = 60326206504200. Its totient is φ = 7004494183680.

The previous prime is 21113546814431. The next prime is 21113546814539. The reversal of 21113546814432 is 23441864531112.

It is a happy number.

21113546814432 is a `hidden beast` number, since 2 + 1 + 1 + 13 + 5 + 468 + 144 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113546814431) 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 11 ways as a sum of consecutive naturals, for example, 173661807 + ... + 173783342.

It is an arithmetic number, because the mean of its divisors is an integer number (837863979225).

Almost surely, 221113546814432 is an apocalyptic number.

It is an amenable number.

21113546814432 is an abundant number, since it is smaller than the sum of its proper divisors (39212659689768).

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

21113546814432 is a wasteful number, since it uses less digits than its factorization.

21113546814432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347445376 (or 347445365 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 21113546814432 in words is "twenty-one trillion, one hundred thirteen billion, five hundred forty-six million, eight hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 422 633 844 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 15192 20256 30384 60768 347445149 694890298 1042335447 1389780596 2084670894 2779561192 3127006341 4169341788 5559122384 6254012682 8338683576 11118244768 12508025364 16677367152 25016050728 33354734304 50032101456 73310926439 100064202912 146621852878 219932779317 293243705756 439865558634 586487411512 659798337951 879731117268 1172974823024 1319596675902 1759462234536 2345949646048 2639193351804 3518924469072 5278386703608 7037848938144 10556773407216 21113546814432