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21797081867808 = 25321331718365521
BaseRepresentation
bin1001111010011000001110…
…10100100110011000100000
32212011210002010001012022100
410331030013110212120200
510324110410424232213
6114205235143210400
74406534002612632
oct475140724463040
985153063035270
1021797081867808
116a440aa513825
122540506746a00
13c215c0aa9cb0
14554dad254a52
1527bed361c773
hex13d307526620

21797081867808 has 144 divisors (see below), whose sum is σ = 66964145930136. Its totient is φ = 6685636976640.

The previous prime is 21797081867783. The next prime is 21797081867833. The reversal of 21797081867808 is 80876818079712.

It is an interprime number because it is at equal distance from previous prime (21797081867783) and next prime (21797081867833).

It can be written as a sum of positive squares in 4 ways, for example, as 3855520748304 + 17941561119504 = 1963548^2 + 4235748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×217970818678082 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 7995913 + ... + 10369608.

Almost surely, 221797081867808 is an apocalyptic number.

It is an amenable number.

21797081867808 is an abundant number, since it is smaller than the sum of its proper divisors (45167064062328).

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

21797081867808 is a wasteful number, since it uses less digits than its factorization.

21797081867808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18365867 (or 18365856 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 72.

The spelling of 21797081867808 in words is "twenty-one trillion, seven hundred ninety-seven billion, eighty-one million, eight hundred sixty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 317 416 468 624 634 936 951 1248 1268 1872 1902 2536 2853 3744 3804 4121 5072 5706 7608 8242 10144 11412 12363 15216 16484 22824 24726 30432 32968 37089 45648 49452 65936 74178 91296 98904 131872 148356 197808 296712 395616 593424 1186848 18365521 36731042 55096563 73462084 110193126 146924168 165289689 220386252 238751773 293848336 330579378 440772504 477503546 587696672 661158756 716255319 881545008 955007092 1322317512 1432510638 1763090016 1910014184 2148765957 2644635024 2865021276 3820028368 4297531914 5289270048 5730042552 5821870157 7640056736 8595063828 11460085104 11643740314 17190127656 17465610471 22920170208 23287480628 34380255312 34931220942 46574961256 52396831413 68760510624 69862441884 75684312041 93149922512 104793662826 139724883768 151368624082 186299845024 209587325652 227052936123 279449767536 302737248164 419174651304 454105872246 558899535072 605474496328 681158808369 838349302608 908211744492 1210948992656 1362317616738 1676698605216 1816423488984 2421897985312 2724635233476 3632846977968 5449270466952 7265693955936 10898540933904 21797081867808