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21212592352 = 257223678779
BaseRepresentation
bin10011110000010111…
…100111100011100000
32000202100020100020121
4103300113213203200
5321420410423402
613424523250024
71350445026400
oct236027474340
960670210217
1021212592352
118aa5a56666
124140079914
13200098a8c3
141053372800
15842442837
hex4f05e78e0

21212592352 has 144 divisors (see below), whose sum is σ = 51455295360. Its totient is φ = 8565080832.

The previous prime is 21212592347. The next prime is 21212592353. The reversal of 21212592352 is 25329521212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212592353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2411899 + ... + 2420677.

It is an arithmetic number, because the mean of its divisors is an integer number (357328440).

Almost surely, 221212592352 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 21212592352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25727647680).

21212592352 is an abundant number, since it is smaller than the sum of its proper divisors (30242703008).

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

21212592352 is a wasteful number, since it uses less digits than its factorization.

21212592352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8878 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The spelling of 21212592352 in words is "twenty-one billion, two hundred twelve million, five hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 67 92 98 112 134 161 184 196 224 268 322 368 392 469 536 644 736 784 938 1072 1127 1288 1541 1568 1876 2144 2254 2576 3082 3283 3752 4508 5152 6164 6566 7504 8779 9016 10787 12328 13132 15008 17558 18032 21574 24656 26264 35116 36064 43148 49312 52528 61453 70232 75509 86296 105056 122906 140464 151018 172592 201917 245812 280928 302036 345184 403834 430171 491624 588193 604072 807668 860342 983248 1176386 1208144 1413419 1615336 1720684 1966496 2352772 2416288 2826838 3230672 3441368 4117351 4705544 5653676 6461344 6882736 8234702 9411088 9893933 11307352 13528439 13765472 16469404 18822176 19787866 22614704 27056878 28821457 32938808 39575732 45229408 54113756 57642914 65877616 79151464 94699073 108227512 115285828 131755232 158302928 189398146 216455024 230571656 316605856 378796292 432910048 461143312 662893511 757592584 922286624 1325787022 1515185168 2651574044 3030370336 5303148088 10606296176 21212592352