Search a number
-
+
21040835083488 = 25321149331346377
BaseRepresentation
bin1001100100010111100111…
…00000000011110011100000
32202111111001222022002211100
410302023303200003303200
510224213112240132423
6112430005354114400
74301102336165313
oct462136340036340
982444058262740
1021040835083488
116782405964610
122439a3111ba00
13b981b064976c
1452a54bb3097a
152674c158b343
hex1322f3803ce0

21040835083488 has 144 divisors (see below), whose sum is σ = 65287689523056. Its totient is φ = 6374713374720.

The previous prime is 21040835083441. The next prime is 21040835083517. The reversal of 21040835083488 is 88438053804012.

21040835083488 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 0 + 83 + 5 + 0 + 83 + 488 = 666.

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

It is a super-2 number, since 2×210408350834882 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 14954556 + ... + 16300932.

It is an arithmetic number, because the mean of its divisors is an integer number (453386732799).

Almost surely, 221040835083488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21040835083488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643844761528).

21040835083488 is an abundant number, since it is smaller than the sum of its proper divisors (44246854439568).

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

21040835083488 is a wasteful number, since it uses less digits than its factorization.

21040835083488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351337 (or 1351326 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 21040835083488 in words is "twenty-one trillion, forty billion, eight hundred thirty-five million, eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 4933 9866 14799 19732 29598 39464 44397 54263 59196 78928 88794 108526 118392 157856 162789 177588 217052 236784 325578 355176 434104 473568 488367 651156 710352 868208 976734 1302312 1346377 1420704 1736416 1953468 2604624 2692754 3906936 4039131 5209248 5385508 7813872 8078262 10771016 12117393 14810147 15627744 16156524 21542032 24234786 29620294 32313048 43084064 44430441 48469572 59240588 64626096 88860882 96939144 118481176 129252192 133291323 177721764 193878288 236962352 266582646 355443528 387756576 473924704 533165292 710887056 1066330584 1421774112 2132661168 4265322336 6641677741 13283355482 19925033223 26566710964 39850066446 53133421928 59775099669 73058455151 79700132892 106266843856 119550199338 146116910302 159400265784 212533687712 219175365453 239100398676 292233820604 318800531568 438350730906 478200797352 584467641208 637601063136 657526096359 876701461812 956401594704 1168935282416 1315052192718 1753402923624 1912803189408 2337870564832 2630104385436 3506805847248 5260208770872 7013611694496 10520417541744 21040835083488