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13748443956216 = 23333112831600337
BaseRepresentation
bin1100100000010000111100…
…0111100100001111111000
31210200100010200211212212000
43020010033013210033320
53300223303123044331
645123540432021000
72616202154304024
oct310041707441770
953610120755760
1013748443956216
114420756212742
12166065a091760
1378961b6ac7b8
143575dd129384
1518c9666b90e6
hexc810f1e43f8

13748443956216 has 128 divisors (see below), whose sum is σ = 39452812646400. Its totient is φ = 4431522424320.

The previous prime is 13748443956199. The next prime is 13748443956227. The reversal of 13748443956216 is 61265934484731.

13748443956216 is a `hidden beast` number, since 1 + 3 + 7 + 48 + 443 + 95 + 62 + 1 + 6 = 666.

It is a super-2 number, since 2×137484439562162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7790800 + ... + 9391136.

It is an arithmetic number, because the mean of its divisors is an integer number (308225098800).

Almost surely, 213748443956216 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 13748443956216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19726406323200).

13748443956216 is an abundant number, since it is smaller than the sum of its proper divisors (25704368690184).

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

13748443956216 is a wasteful number, since it uses less digits than its factorization.

13748443956216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601666 (or 1601656 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 13748443956216 in words is "thirteen trillion, seven hundred forty-eight billion, four hundred forty-three million, nine hundred fifty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1283 1674 2232 2566 3348 3849 5132 6696 7698 10264 11547 15396 23094 30792 34641 39773 46188 69282 79546 92376 119319 138564 159092 238638 277128 318184 357957 477276 715914 954552 1073871 1431828 1600337 2147742 2863656 3200674 4295484 4801011 6401348 8590968 9602022 12802696 14403033 19204044 28806066 38408088 43209099 49610447 57612132 86418198 99220894 115224264 148831341 172836396 198441788 297662682 345672792 396883576 446494023 595325364 892988046 1190650728 1339482069 1785976092 2053232371 2678964138 3571952184 4106464742 5357928276 6159697113 8212929484 10715856552 12319394226 16425858968 18479091339 24638788452 36958182678 49277576904 55437274017 63650203501 73916365356 110874548034 127300407002 147832730712 190950610503 221749096068 254600814004 381901221006 443498192136 509201628008 572851831509 763802442012 1145703663018 1527604884024 1718555494527 2291407326036 3437110989054 4582814652072 6874221978108 13748443956216