Search a number
-
+
1613838095616 = 2832982987407
BaseRepresentation
bin10111011111000000001…
…111110001010100000000
312201021121011002120111010
4113133000033301110000
5202420120023024431
63233215331120520
7224411261322105
oct27370017612400
95637534076433
101613838095616
1157247459454a
12220933143140
13b9251b286b6
145817849aaac
152bea63d5846
hex177c03f1500

1613838095616 has 144 divisors (see below), whose sum is σ = 4448682604800. Its totient is φ = 518763700224.

The previous prime is 1613838095561. The next prime is 1613838095669. The reversal of 1613838095616 is 6165908383161.

It is a super-2 number, since 2×16138380956162 (a number of 25 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 15 ways as a sum of consecutive naturals, for example, 18419785 + ... + 18507191.

It is an arithmetic number, because the mean of its divisors is an integer number (30893629200).

Almost surely, 21613838095616 is an apocalyptic number.

1613838095616 is a gapful number since it is divisible by the number (16) 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 1613838095616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224341302400).

1613838095616 is an abundant number, since it is smaller than the sum of its proper divisors (2834844509184).

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

1613838095616 is an equidigital number, since it uses as much as digits as its factorization.

1613838095616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88284 (or 88270 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 1613838095616 in words is "one trillion, six hundred thirteen billion, eight hundred thirty-eight million, ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 829 928 1392 1658 1856 2487 2784 3316 3712 4974 5568 6632 7424 9948 11136 13264 19896 22272 24041 26528 39792 48082 53056 72123 79584 87407 96164 106112 144246 159168 174814 192328 212224 262221 288492 318336 349628 384656 524442 576984 636672 699256 769312 1048884 1153968 1398512 1538624 2097768 2307936 2534803 2797024 3077248 4195536 4615872 5069606 5594048 6154496 7604409 8391072 9231744 10139212 11188096 15208818 16782144 18463488 20278424 22376192 30417636 33564288 40556848 60835272 67128576 72460403 81113696 121670544 144920806 162227392 217381209 243341088 289841612 324454784 434762418 486682176 579683224 648909568 869524836 973364352 1159366448 1739049672 1946728704 2101351687 2318732896 3478099344 4202703374 4637465792 6304055061 6956198688 8405406748 9274931584 12608110122 13912397376 16810813496 18549863168 25216220244 27824794752 33621626992 50432440488 55649589504 67243253984 100864880976 134486507968 201729761952 268973015936 403459523904 537946031872 806919047808 1613838095616