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38404484445856 = 2559101244182507
BaseRepresentation
bin10001011101101101111011…
…01001110011011010100000
312000222102200112220222120111
420232312331221303122200
520013204341004231411
6213402435424421104
711042426632435564
oct1056667551633240
9160872615828514
1038404484445856
11112672832a3191
124383068177794
1318576b17605a9
1496ab036096a4
15468ec71a2721
hex22edbda736a0

38404484445856 has 96 divisors (see below), whose sum is σ = 77684377700160. Its totient is φ = 18681998592000.

The previous prime is 38404484445841. The next prime is 38404484445919. The reversal of 38404484445856 is 65854448440483.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38404484445791 and 38404484445800.

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, 465428155 + ... + 465510661.

It is an arithmetic number, because the mean of its divisors is an integer number (809212267710).

Almost surely, 238404484445856 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 38404484445856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38842188850080).

38404484445856 is an abundant number, since it is smaller than the sum of its proper divisors (39279893254304).

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

38404484445856 is a wasteful number, since it uses less digits than its factorization.

38404484445856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85118 (or 85110 counting only the distinct ones).

The product of its (nonzero) digits is 943718400, while the sum is 67.

The spelling of 38404484445856 in words is "thirty-eight trillion, four hundred four billion, four hundred eighty-four million, four hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 101 118 202 236 404 472 808 944 1616 1888 2441 3232 4882 5959 9764 11918 19528 23836 39056 47672 78112 82507 95344 144019 165014 190688 246541 288038 330028 493082 576076 660056 986164 1152152 1320112 1972328 2304304 2640224 3944656 4608608 4867913 7889312 8333207 9735826 14545919 16666414 19471652 29091838 33332828 38943304 58183676 66665656 77886608 116367352 133331312 155773216 201399587 232734704 266662624 402799174 465469408 491659213 805598348 983318426 1611196696 1966636852 3222393392 3933273704 6444786784 7866547408 11882575633 15733094816 20341358287 23765151266 40682716574 47530302532 81365433148 95060605064 162730866296 190121210128 325461732592 380242420256 650923465184 1200140138933 2400280277866 4800560555732 9601121111464 19202242222928 38404484445856