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16657454973700 = 2252173982997961
BaseRepresentation
bin1111001001100101110110…
…1011111100001100000100
32011222102210200021221012201
43302121131223330030010
54140403431433124300
655232155033524244
73336314156051452
oct362313553741404
964872720257181
1016657454973700
11534242908a102
121a503abb73684
1393aa39539c78
14418321a439d2
151dd472d2966a
hexf265dafc304

16657454973700 has 72 divisors (see below), whose sum is σ = 36359687596680. Its totient is φ = 6623726054400.

The previous prime is 16657454973637. The next prime is 16657454973829. The reversal of 16657454973700 is 737945475661.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 642075279616 + 16015379694084 = 801296^2 + 4001922^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169992720 + ... + 170090680.

It is an arithmetic number, because the mean of its divisors is an integer number (504995661065).

Almost surely, 216657454973700 is an apocalyptic number.

16657454973700 is a gapful number since it is divisible by the number (10) 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 16657454973700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179843798340).

16657454973700 is an abundant number, since it is smaller than the sum of its proper divisors (19702232622980).

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

16657454973700 is a wasteful number, since it uses less digits than its factorization.

16657454973700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107977 (or 107970 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 64.

The spelling of 16657454973700 in words is "sixteen trillion, six hundred fifty-seven billion, four hundred fifty-four million, nine hundred seventy-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8650 9829 17300 19658 39316 49145 97961 98290 195922 196580 245725 391844 489805 491450 979610 982900 1700417 1959220 2449025 3400834 4898050 6801668 8502085 9796100 16947253 17004170 33894506 34008340 42510425 67789012 84736265 85020850 169472530 170041700 338945060 423681325 847362650 962858669 1694725300 1925717338 3851434676 4814293345 9628586690 19257173380 24071466725 48142933450 96285866900 166574549737 333149099474 666298198948 832872748685 1665745497370 3331490994740 4164363743425 8328727486850 16657454973700