Search a number
-
+
28063638982368 = 2533112952823967
BaseRepresentation
bin1100110000110000100110…
…01110111000111011100000
310200100212011020211011122000
412120120103032320323200
512134243313034413433
6135404131402244000
75624350064326653
oct630302316707340
9120325136734560
1028063638982368
118a3a7a4651680
123192b07ab6600
13128750b513782
146d04047a989a
15339eedc61113
hex1986133b8ee0

28063638982368 has 96 divisors (see below), whose sum is σ = 89293396792320. Its totient is φ = 8504133022080.

The previous prime is 28063638982307. The next prime is 28063638982399. The reversal of 28063638982368 is 86328983636082.

28063638982368 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 3 + 6 + 389 + 8 + 236 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×280636389823682 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28063638982296 and 28063638982305.

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, 1476402480 + ... + 1476421487.

It is an arithmetic number, because the mean of its divisors is an integer number (930139549920).

Almost surely, 228063638982368 is an apocalyptic number.

It is an amenable number.

28063638982368 is an abundant number, since it is smaller than the sum of its proper divisors (61229757809952).

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

28063638982368 is a wasteful number, since it uses less digits than its factorization.

28063638982368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952823997 (or 2952823983 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 28063638982368 in words is "twenty-eight trillion, sixty-three billion, six hundred thirty-eight million, nine hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 2952823967 5905647934 8858471901 11811295868 17716943802 23622591736 26575415703 32481063637 35433887604 47245183472 53150831406 64962127274 70867775208 79726247109 94490366944 97443190911 106301662812 129924254548 141735550416 159452494218 194886381822 212603325624 259848509096 283471100832 292329572733 318904988436 389772763644 425206651248 519697018192 584659145466 637809976872 779545527288 850413302496 876988718199 1039394036384 1169318290932 1275619953744 1559091054576 1753977436398 2338636581864 2551239907488 3118182109152 3507954872796 4677273163728 7015909745592 9354546327456 14031819491184 28063638982368