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21812115240 = 23335137147419
BaseRepresentation
bin10100010100000110…
…100111011100101000
32002022010100021001000
4110110012213130220
5324132400141430
614004221155000
71401344630466
oct242406473450
962263307030
1021812115240
119283409023
1242889bba60
132097c4a286
1410acc33836
15879db8e60
hex5141a7728

21812115240 has 128 divisors (see below), whose sum is σ = 73238256000. Its totient is φ = 5774068224.

The previous prime is 21812115239. The next prime is 21812115263. The reversal of 21812115240 is 4251121812.

21812115240 is a `hidden beast` number, since 2 + 18 + 121 + 1 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74251 + ... + 221669.

It is an arithmetic number, because the mean of its divisors is an integer number (572173875).

Almost surely, 221812115240 is an apocalyptic number.

21812115240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21812115240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36619128000).

21812115240 is an abundant number, since it is smaller than the sum of its proper divisors (51426140760).

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

21812115240 is a wasteful number, since it uses less digits than its factorization.

21812115240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147576 (or 147566 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 21812115240 in words is "twenty-one billion, eight hundred twelve million, one hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 137 180 216 270 274 360 411 540 548 685 822 1080 1096 1233 1370 1644 2055 2466 2740 3288 3699 4110 4932 5480 6165 7398 8220 9864 12330 14796 16440 18495 24660 29592 36990 49320 73980 147419 147960 294838 442257 589676 737095 884514 1179352 1326771 1474190 1769028 2211285 2653542 2948380 3538056 3980313 4422570 5307084 5896760 6633855 7960626 8845140 10614168 13267710 15921252 17690280 19901565 20196403 26535420 31842504 39803130 40392806 53070840 60589209 79606260 80785612 100982015 121178418 159212520 161571224 181767627 201964030 242356836 302946045 363535254 403928060 484713672 545302881 605892090 727070508 807856120 908838135 1090605762 1211784180 1454141016 1817676270 2181211524 2423568360 2726514405 3635352540 4362423048 5453028810 7270705080 10906057620 21812115240