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21086354016 = 2532713804577
BaseRepresentation
bin10011101000110110…
…000011101001100000
32000102112200202210200
4103220312003221200
5321141101312031
613404213425200
71344353023530
oct235066035140
960375622720
1021086354016
118a40773962
12410593b200
131cb078b370
1410406b14c0
158363088e6
hex4e8d83a60

21086354016 has 144 divisors (see below), whose sum is σ = 73802330784. Its totient is φ = 5561229312.

The previous prime is 21086353993. The next prime is 21086354027. The reversal of 21086354016 is 61045368012.

It is a happy number.

21086354016 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 635 + 4 + 0 + 16 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376081 + ... + 428496.

It is an arithmetic number, because the mean of its divisors is an integer number (512516186).

Almost surely, 221086354016 is an apocalyptic number.

21086354016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21086354016 is an abundant number, since it is smaller than the sum of its proper divisors (52715976768).

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

21086354016 is a wasteful number, since it uses less digits than its factorization.

21086354016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804613 (or 804602 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21086354016 in words is "twenty-one billion, eighty-six million, three hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 804577 1609154 2413731 3218308 4827462 5632039 6436616 7241193 9654924 10459501 11264078 12873232 14482386 16896117 19309848 20919002 22528156 25746464 28964772 31378503 33792234 38619696 41838004 45056312 50688351 57929544 62757006 67584468 73216507 77239392 83676008 90112624 94135509 101376702 115859088 125514012 135168936 146433014 167352016 180225248 188271018 202753404 219649521 231718176 251028024 270337872 292866028 334704032 376542036 405506808 439299042 502056048 540675744 585732056 658948563 753084072 811013616 878598084 1004112096 1171464112 1317897126 1506168144 1622027232 1757196168 2342928224 2635794252 3012336288 3514392336 5271588504 7028784672 10543177008 21086354016