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21216363361104 = 24319192891206053
BaseRepresentation
bin1001101001011110100011…
…10011010011001101010000
32210010021010211201111011110
410310233101303103031100
510240102103010023404
6113042355054213320
74316555156011032
oct464572163231520
983107124644143
1021216363361104
11683a89a00a55a
122467a591b4240
13bab904a08522
14534c3daa1c52
1526bd463deb89
hex134bd1cd3350

21216363361104 has 80 divisors (see below), whose sum is σ = 57696658516800. Its totient is φ = 6699551321088.

The previous prime is 21216363361093. The next prime is 21216363361117. The reversal of 21216363361104 is 40116336361212.

It is a super-3 number, since 3×212163633611043 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16988542 + ... + 18194594.

It is an arithmetic number, because the mean of its divisors is an integer number (721208231460).

Almost surely, 221216363361104 is an apocalyptic number.

21216363361104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21216363361104 is an abundant number, since it is smaller than the sum of its proper divisors (36480295155696).

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

21216363361104 is a wasteful number, since it uses less digits than its factorization.

21216363361104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225372 (or 1225366 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 21216363361104 in words is "twenty-one trillion, two hundred sixteen billion, three hundred sixty-three million, three hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 19289 38578 57867 77156 115734 154312 231468 308624 366491 462936 732982 925872 1099473 1206053 1465964 2198946 2412106 2931928 3618159 4397892 4824212 5863856 7236318 8795784 9648424 14472636 17591568 19296848 22915007 28945272 45830014 57890544 68745021 91660028 137490042 183320056 274980084 366640112 549960168 1099920336 23263556317 46527112634 69790668951 93054225268 139581337902 186108450536 279162675804 372216901072 442007570023 558325351608 884015140046 1116650703216 1326022710069 1768030280092 2652045420138 3536060560184 5304090840276 7072121120368 10608181680552 21216363361104