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21256032253456 = 24711139831350127
BaseRepresentation
bin1001101010101000011100…
…10000000111011000010000
32210021001112102202000100201
410311110032100013120100
510241224323224102311
6113112515244224544
74322461203021310
oct465241620073020
983231472660321
1021256032253456
1168556a6077510
12247368a23b154
13bb25872baab0
14536b242bd440
1526cdb8cc09c1
hex13550e407610

21256032253456 has 160 divisors (see below), whose sum is σ = 55351705264128. Its totient is φ = 7636744696320.

The previous prime is 21256032253427. The next prime is 21256032253523. The reversal of 21256032253456 is 65435223065212.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15068665 + ... + 16418791.

Almost surely, 221256032253456 is an apocalyptic number.

21256032253456 is a gapful number since it is divisible by the number (26) 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 21256032253456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27675852632064).

21256032253456 is an abundant number, since it is smaller than the sum of its proper divisors (34095673010672).

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

21256032253456 is a wasteful number, since it uses less digits than its factorization.

21256032253456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351149 (or 1351143 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 21256032253456 in words is "twenty-one trillion, two hundred fifty-six billion, thirty-two million, two hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 983 1001 1144 1232 1456 1966 2002 2288 3932 4004 6881 7864 8008 10813 12779 13762 15728 16016 21626 25558 27524 43252 51116 55048 75691 86504 89453 102232 110096 140569 151382 173008 178906 204464 281138 302764 357812 562276 605528 715624 983983 1124552 1211056 1350127 1431248 1967966 2249104 2700254 3935932 5400508 7871864 9450889 10801016 14851397 15743728 17551651 18901778 21602032 29702794 35103302 37803556 59405588 70206604 75607112 103959779 118811176 122861557 140413208 151214224 193068161 207919558 237622352 245723114 280826416 386136322 415839116 491446228 772272644 831678232 982892456 1327174841 1351477127 1544545288 1663356464 1965784912 2654349682 2702954254 3089090576 5308699364 5405908508 9290223887 10617398728 10811817016 14598923251 17253272933 18580447774 21234797456 21623634032 29197846502 34506545866 37160895548 58395693004 69013091732 74321791096 102192462757 116791386008 120772910531 138026183464 148643582192 189786002263 204384925514 233582772016 241545821062 276052366928 379572004526 408769851028 483091642124 759144009052 817539702056 966183284248 1328502015841 1518288018104 1635079404112 1932366568496 2657004031682 3036576036208 5314008063364 10628016126728 21256032253456