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215205343104 = 2732324366547
BaseRepresentation
bin1100100001101100111…
…1001110111110000000
3202120111000211010222010
43020123033032332000
512011220031434404
6242510341212520
721355663143243
oct3103317167600
9676430733863
10215205343104
11832a4895564
123585ba01140
13173a857350b
14a5b76b925a
1558e82eb189
hex321b3cef80

215205343104 has 64 divisors (see below), whose sum is σ = 596493095040. Its totient is φ = 68616193536.

The previous prime is 215205343091. The next prime is 215205343117. The reversal of 215205343104 is 401343502512.

215205343104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (215205343091) and next prime (215205343117).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12174442 + ... + 12192105.

It is an arithmetic number, because the mean of its divisors is an integer number (9320204610).

Almost surely, 2215205343104 is an apocalyptic number.

215205343104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

215205343104 is an abundant number, since it is smaller than the sum of its proper divisors (381287751936).

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

215205343104 is a wasteful number, since it uses less digits than its factorization.

215205343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24366587 (or 24366575 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 215205343104 its reverse (401343502512), we get a palindrome (616548845616).

The spelling of 215205343104 in words is "two hundred fifteen billion, two hundred five million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 24366547 48733094 73099641 97466188 146199282 194932376 292398564 389864752 560430581 584797128 779729504 1120861162 1169594256 1559459008 1681291743 2241722324 2339188512 3118918016 3362583486 4483444648 4678377024 6725166972 8966889296 9356754048 13450333944 17933778592 26900667888 35867557184 53801335776 71735114368 107602671552 215205343104