Search a number
-
+
4688324884516 = 2272132118972
BaseRepresentation
bin100010000111001010111…
…1100000111100000100100
3121121012101102101210002111
41010032111330013200210
51103303142132301031
613545441533050404
7662502026664100
oct104162574074044
917535342353074
104688324884516
11154834219a199
12638766626a04
13280151502400
14122cb7c36900
1581e4a0b91b1
hex44395f07824

4688324884516 has 81 divisors (see below), whose sum is σ = 10335593369619. Its totient is φ = 1854566034048.

The previous prime is 4688324884501. The next prime is 4688324884531. The reversal of 4688324884516 is 6154884238864.

The square root of 4688324884516 is 2165254.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4688324884501) and next prime (4688324884531).

It can be written as a sum of positive squares in 4 ways, for example, as 467929874916 + 4220395009600 = 684054^2 + 2054360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 394070280 + ... + 394082176.

Almost surely, 24688324884516 is an apocalyptic number.

4688324884516 is the 2165254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4688324884516

4688324884516 is an abundant number, since it is smaller than the sum of its proper divisors (5647268485103).

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

4688324884516 is an equidigital number, since it uses as much as digits as its factorization.

4688324884516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23838 (or 11919 counting only the distinct ones).

The product of its digits is 283115520, while the sum is 67.

The spelling of 4688324884516 in words is "four trillion, six hundred eighty-eight billion, three hundred twenty-four million, eight hundred eighty-four thousand, five hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4732 8281 11897 16562 23794 33124 47588 83279 154661 166558 309322 333116 582953 618644 1082627 1165906 2010593 2165254 2331812 4021186 4330508 7578389 8042372 14074151 15156778 28148302 30313556 56296604 98519057 141538609 197038114 283077218 394076228 566154436 990770263 1840001917 1981540526 3680003834 3963081052 6935391841 7360007668 12880013419 13870783682 23920024921 25760026838 27741567364 47840049842 51520053676 90160093933 95680099684 167440174447 180320187866 334880348894 360640375732 669760697788 1172081221129 2344162442258 4688324884516