Search a number
-
+
28015537065984 = 212321358459237
BaseRepresentation
bin1100101111010111000000…
…01000101001000000000000
310200012020222221120122020100
412113223200020221000000
512133001304442102414
6135330054323242400
75621025060642456
oct627534010510000
9120166887518210
1028015537065984
118a21360345976
123185722819400
131282b13a86260
146cbd601a49d6
15338b35d4b609
hex197ae0229000

28015537065984 has 156 divisors (see below), whose sum is σ = 87148810559356. Its totient is φ = 8620165103616.

The previous prime is 28015537065931. The next prime is 28015537065991. The reversal of 28015537065984 is 48956073551082.

28015537065984 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 5 + 5 + 37 + 0 + 6 + 598 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9485611536384 + 18529925529600 = 3079872^2 + 4304640^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28750387 + ... + 29708850.

It is a 1-persistent number, because it is pandigital, but 2⋅28015537065984 = 56031074131968 is not.

Almost surely, 228015537065984 is an apocalyptic number.

28015537065984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28015537065984 is an abundant number, since it is smaller than the sum of its proper divisors (59133273493372).

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

28015537065984 is a wasteful number, since it uses less digits than its factorization.

28015537065984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58459280 (or 58459255 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 28015537065984 in words is "twenty-eight trillion, fifteen billion, five hundred thirty-seven million, sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4096 4608 4992 6144 6656 7488 9216 9984 12288 13312 14976 18432 19968 26624 29952 36864 39936 53248 59904 79872 119808 159744 239616 479232 58459237 116918474 175377711 233836948 350755422 467673896 526133133 701510844 759970081 935347792 1052266266 1403021688 1519940162 1870695584 2104532532 2279910243 2806043376 3039880324 3741391168 4209065064 4559820486 5612086752 6079760648 6839730729 7482782336 8418130128 9119640972 11224173504 12159521296 13679461458 14965564672 16836260256 18239281944 22448347008 24319042592 27358922916 29931129344 33672520512 36478563888 44896694016 48638085184 54717845832 59862258688 67345041024 72957127776 89793388032 97276170368 109435691664 119724517376 134690082048 145914255552 179586776064 194552340736 218871383328 239449034752 269380164096 291828511104 359173552128 389104681472 437742766656 538760328192 583657022208 718347104256 778209362944 875485533312 1077520656384 1167314044416 1556418725888 1750971066624 2155041312768 2334628088832 3112837451776 3501942133248 4669256177664 7003884266496 9338512355328 14007768532992 28015537065984