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21204431557632 = 2103219311921389
BaseRepresentation
bin1001101001001000010101…
…00111000101010000000000
32210002010100021221001212100
410310210022213011100000
510234403133434321012
6113033103102230400
74315653403240011
oct464441247052000
983063307831770
1021204431557632
1168358268a7a54
122465689285400
13baa752a3069b
1453442b157008
1526b898b408dc
hex13490a9c5400

21204431557632 has 132 divisors (see below), whose sum is σ = 61544581202260. Its totient is φ = 7031520755712.

The previous prime is 21204431557501. The next prime is 21204431557649. The reversal of 21204431557632 is 23675513440212.

21204431557632 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 4 + 4 + 3 + 1 + 5 + 5 + 7 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2994616406016 + 18209815151616 = 1730496^2 + 4267296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4182007 + ... + 7739382.

Almost surely, 221204431557632 is an apocalyptic number.

It is an amenable number.

21204431557632 is an abundant number, since it is smaller than the sum of its proper divisors (40340149644628).

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

21204431557632 is a wasteful number, since it uses less digits than its factorization.

21204431557632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11921608 (or 11921587 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 21204431557632 its reverse (23675513440212), we get a palindrome (44879944997844).

The spelling of 21204431557632 in words is "twenty-one trillion, two hundred four billion, four hundred thirty-one million, five hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 256 288 384 386 512 576 579 768 772 1024 1152 1158 1536 1544 1737 2304 2316 3072 3088 3474 4608 4632 6176 6948 9216 9264 12352 13896 18528 24704 27792 37056 49408 55584 74112 98816 111168 148224 197632 222336 296448 444672 592896 889344 1778688 11921389 23842778 35764167 47685556 71528334 95371112 107292501 143056668 190742224 214585002 286113336 381484448 429170004 572226672 762968896 858340008 1144453344 1525937792 1716680016 2288906688 2300828077 3051875584 3433360032 4577813376 4601656154 6103751168 6866720064 6902484231 9155626752 9203312308 12207502336 13733440128 13804968462 18311253504 18406624616 20707452693 27466880256 27609936924 36622507008 36813249232 41414905386 54933760512 55219873848 73626498464 82829810772 109867521024 110439747696 147252996928 165659621544 220879495392 294505993856 331319243088 441758990784 589011987712 662638486176 883517981568 1178023975424 1325276972352 1767035963136 2356047950848 2650553944704 3534071926272 5301107889408 7068143852544 10602215778816 21204431557632