Search a number
-
+
2061944064 = 28321934637
BaseRepresentation
bin111101011100110…
…1100010100000000
312022200220121111200
41322321230110000
513210324202224
6540334341200
7102045143505
oct17271542400
95280817450
102061944064
11968a06104
1249665a800
1326b25515b
14157bc14ac
15c104b5c9
hex7ae6c500

2061944064 has 108 divisors (see below), whose sum is σ = 5977185396. Its totient is φ = 683606016.

The previous prime is 2061944063. The next prime is 2061944069. The reversal of 2061944064 is 4604491602.

2061944064 is a `hidden beast` number, since 206 + 1 + 9 + 440 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 508953600 + 1552990464 = 22560^2 + 39408^2 .

It is a super-2 number, since 2×20619440642 = 8503226646129672192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2061944063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442354 + ... + 446990.

Almost surely, 22061944064 is an apocalyptic number.

2061944064 is a gapful number since it is divisible by the number (24) 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 2061944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988592698).

2061944064 is an abundant number, since it is smaller than the sum of its proper divisors (3915241332).

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

2061944064 is a wasteful number, since it uses less digits than its factorization.

2061944064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2061944064 is about 45408.6342450420. The cubic root of 2061944064 is about 1272.7964633355.

The spelling of 2061944064 in words is "two billion, sixty-one million, nine hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 256 288 384 386 576 579 768 772 1152 1158 1544 1737 2304 2316 3088 3474 4632 4637 6176 6948 9264 9274 12352 13896 13911 18528 18548 24704 27792 27822 37056 37096 41733 49408 55584 55644 74112 74192 83466 111168 111288 148224 148384 166932 222336 222576 296768 333864 444672 445152 593536 667728 890304 894941 1187072 1335456 1780608 1789882 2670912 2684823 3561216 3579764 5341824 5369646 7159528 8054469 10683648 10739292 14319056 16108938 21478584 28638112 32217876 42957168 57276224 64435752 85914336 114552448 128871504 171828672 229104896 257743008 343657344 515486016 687314688 1030972032 2061944064