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212712522480 = 243251915549161
BaseRepresentation
bin1100011000011010100…
…1111000001011110000
3202100001022010201221100
43012012221320023300
511441113401204410
6241415131324400
721240133415523
oct3060651701360
9670038121840
10212712522480
1182235745527
1235284bb0700
131709bc88b23
14a41c5b6bba
1557ee53c8c0
hex3186a782f0

212712522480 has 120 divisors (see below), whose sum is σ = 751957474320. Its totient is φ = 53737896960.

The previous prime is 212712522437. The next prime is 212712522481. The reversal of 212712522480 is 84225217212.

It is a happy number.

212712522480 is a `hidden beast` number, since 2 + 127 + 1 + 2 + 52 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212712522481) 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, 7760901 + ... + 7788260.

It is an arithmetic number, because the mean of its divisors is an integer number (6266312286).

Almost surely, 2212712522480 is an apocalyptic number.

212712522480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212712522480 is an abundant number, since it is smaller than the sum of its proper divisors (539244951840).

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

212712522480 is a wasteful number, since it uses less digits than its factorization.

212712522480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15549199 (or 15549190 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 212712522480 its reverse (84225217212), we get a palindrome (296937739692).

The spelling of 212712522480 in words is "two hundred twelve billion, seven hundred twelve million, five hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 15549161 31098322 46647483 62196644 77745805 93294966 124393288 139942449 155491610 186589932 233237415 248786576 279884898 295434059 310983220 373179864 466474830 559769796 590868118 621966440 699712245 746359728 886302177 932949660 1119539592 1181736236 1243932880 1399424490 1477170295 1772604354 1865899320 2239079184 2363472472 2658906531 2798848980 2954340590 3545208708 3731798640 4431510885 4726944944 5317813062 5597697960 5908681180 7090417416 8863021770 10635626124 11195395920 11817362360 13294532655 14180834832 17726043540 21271252248 23634724720 26589065310 35452087080 42542504496 53178130620 70904174160 106356261240 212712522480