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16440634644 = 22372294312237
BaseRepresentation
bin11110100111111000…
…00010110100010100
31120102202221202220020
433103330002310110
5232132300302034
611315215505140
71121262042300
oct172374026424
946382852806
1016440634644
116a77345165
123229b281b0
1317201541a5
14b1d6b2d00
15663534249
hex3d3f02d14

16440634644 has 144 divisors (see below), whose sum is σ = 46291150080. Its totient is φ = 4522801920.

The previous prime is 16440634627. The next prime is 16440634657. The reversal of 16440634644 is 44643604461.

16440634644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164406346443 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16440634596 and 16440634605.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7348294 + ... + 7350530.

It is an arithmetic number, because the mean of its divisors is an integer number (321466320).

Almost surely, 216440634644 is an apocalyptic number.

16440634644 is a gapful number since it is divisible by the number (14) 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 16440634644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23145575040).

16440634644 is an abundant number, since it is smaller than the sum of its proper divisors (29850515436).

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

16440634644 is a wasteful number, since it uses less digits than its factorization.

16440634644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 16440634644 in words is "sixteen billion, four hundred forty million, six hundred thirty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 431 588 609 812 862 1218 1293 1421 1724 2237 2436 2586 2842 3017 4263 4474 5172 5684 6034 6711 8526 8948 9051 12068 12499 13422 15659 17052 18102 21119 24998 26844 31318 36204 37497 42238 46977 49996 62636 63357 64873 74994 84476 87493 93954 109613 126714 129746 149988 174986 187908 194619 219226 253428 259492 262479 328839 349972 389238 438452 454111 524958 612451 657678 778476 908222 964147 1049916 1224902 1315356 1362333 1816444 1837353 1928294 2449804 2724666 2892441 3178777 3674706 3856588 5449332 5784882 6357554 6749029 7349412 9536331 11569764 12715108 13498058 19072662 20247087 26996116 27960263 38145324 40494174 47243203 55920526 80988348 83880789 94486406 111841052 141729609 167761578 188972812 195721841 283459218 335523156 391443682 566918436 587165523 782887364 1174331046 1370052887 2348662092 2740105774 4110158661 5480211548 8220317322 16440634644