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21214036536252 = 22372113659484487
BaseRepresentation
bin1001101001011010001110…
…00111001010101110111100
32210010001010200101112112020
410310231013013022232330
510240032321323130002
6113041332134240140
74316443413224100
oct464550707125674
983101120345466
1021214036536252
11683990563760a
122467509ab6050
13bab6239306a1
14534a9ca4d900
1526bc5bec02bc
hex134b471cabbc

21214036536252 has 144 divisors (see below), whose sum is σ = 58178791883520. Its totient is φ = 5998386283008.

The previous prime is 21214036536241. The next prime is 21214036536257. The reversal of 21214036536252 is 25263563041212.

It is a super-2 number, since 2×212140365362522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214036536257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43544353 + ... + 44028839.

It is an arithmetic number, because the mean of its divisors is an integer number (404019388080).

Almost surely, 221214036536252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214036536252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29089395941760).

21214036536252 is an abundant number, since it is smaller than the sum of its proper divisors (36964755347268).

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

21214036536252 is a wasteful number, since it uses less digits than its factorization.

21214036536252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485280 (or 485271 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 21214036536252 its reverse (25263563041212), we get a palindrome (46477599577464).

The spelling of 21214036536252 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, five hundred thirty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 226 294 339 452 588 659 678 791 1318 1356 1582 1977 2373 2636 3164 3954 4613 4746 5537 7908 9226 9492 11074 13839 16611 18452 22148 27678 32291 33222 55356 64582 66444 74467 96873 129164 148934 193746 223401 297868 387492 446802 484487 521269 893604 968974 1042538 1453461 1563807 1937948 2085076 2906922 3127614 3391409 3648883 5813844 6255228 6782818 7297766 10174227 10946649 13565636 14595532 20348454 21893298 23739863 40696908 43786596 47479726 54747031 71219589 94959452 109494062 142439178 164241093 218988124 284878356 319276933 328482186 383229217 638553866 656964372 766458434 957830799 1149687651 1277107732 1532916868 1915661598 2234938531 2299375302 2682604519 3831323196 4469877062 4598750604 5365209038 6704815593 8047813557 8939754124 10730418076 13409631186 15644569717 16095627114 26819262372 31289139434 32191254228 36078293429 46933709151 62578278868 72156586858 93867418302 108234880287 144313173716 187734836604 216469760574 252548054003 432939521148 505096108006 757644162009 1010192216012 1515288324018 1767836378021 3030576648036 3535672756042 5303509134063 7071345512084 10607018268126 21214036536252