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3804728348016 = 24321491125115761
BaseRepresentation
bin110111010111011011011…
…110110100110101110000
3111110201200001121222112100
4313113123132310311300
5444314040424114031
612031511300500400
7541611500232231
oct67273336646560
914421601558470
103804728348016
111237637a66302
1251546b9aa700
13217a2728442b
14d2215209088
1568e82bccde6
hex375db7b4d70

3804728348016 has 120 divisors (see below), whose sum is σ = 10721050750800. Its totient is φ = 1259539200000.

The previous prime is 3804728347969. The next prime is 3804728348039. The reversal of 3804728348016 is 6108438274083.

3804728348016 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 72 + 83 + 480 + 16 = 666.

It is a super-2 number, since 2×38047283480162 (a number of 26 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 23 ways as a sum of consecutive naturals, for example, 241393576 + ... + 241409336.

It is an arithmetic number, because the mean of its divisors is an integer number (89342089590).

Almost surely, 23804728348016 is an apocalyptic number.

3804728348016 is a gapful number since it is divisible by the number (36) 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 3804728348016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360525375400).

3804728348016 is an abundant number, since it is smaller than the sum of its proper divisors (6916322402784).

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

3804728348016 is a wasteful number, since it uses less digits than its factorization.

3804728348016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27175 (or 27166 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 3804728348016 in words is "three trillion, eight hundred four billion, seven hundred twenty-eight million, three hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 11251 15761 21456 22502 31522 33753 45004 47283 63044 67506 90008 94566 101259 126088 135012 141849 180016 189132 202518 252176 270024 283698 378264 405036 540048 567396 756528 810072 1134792 1620144 1676399 2269584 2348389 3352798 4696778 5029197 6705596 7045167 9393556 10058394 13411192 14090334 15087591 18787112 20116788 21135501 26822384 28180668 30175182 37574224 40233576 42271002 56361336 60350364 80467152 84542004 112722672 120700728 169084008 177327011 241401456 338168016 354654022 531981033 709308044 1063962066 1418616088 1595943099 2127924132 2837232176 3191886198 4255848264 6383772396 8511696528 12767544792 25535089584 26421724639 52843449278 79265173917 105686898556 158530347834 211373797112 237795521751 317060695668 422747594224 475591043502 634121391336 951182087004 1268242782672 1902364174008 3804728348016