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27700563968 = 212721112547
BaseRepresentation
bin11001110011000101…
…010001000000000000
32122111111111110010122
4121303011101000000
5423212321021333
620420411115412
72000305623500
oct316305210000
978444443118
1027700563968
1110825278780
125450a42b68
1327c5b8986c
1414aacc5a00
15ac1d19798
hex673151000

27700563968 has 156 divisors (see below), whose sum is σ = 70301976912. Its totient is φ = 10791567360.

The previous prime is 27700563953. The next prime is 27700563973. The reversal of 27700563968 is 86936500772.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2201471 + ... + 2214017.

Almost surely, 227700563968 is an apocalyptic number.

27700563968 is a gapful number since it is divisible by the number (28) 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 27700563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35150988456).

27700563968 is an abundant number, since it is smaller than the sum of its proper divisors (42601412944).

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

27700563968 is a wasteful number, since it uses less digits than its factorization.

27700563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12596 (or 12567 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The spelling of 27700563968 in words is "twenty-seven billion, seven hundred million, five hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 512 539 616 704 784 896 1024 1078 1232 1408 1568 1792 2048 2156 2464 2816 3136 3584 4096 4312 4928 5632 6272 7168 8624 9856 11264 12544 12547 14336 17248 19712 22528 25088 25094 28672 34496 39424 45056 50176 50188 68992 78848 87829 100352 100376 137984 138017 157696 175658 200704 200752 275968 276034 315392 351316 401504 551936 552068 614803 702632 803008 966119 1103872 1104136 1229606 1405264 1606016 1932238 2207744 2208272 2459212 2810528 3212032 3864476 4416544 4918424 5621056 6424064 6762833 7728952 8833088 9836848 11242112 12848128 13525666 15457904 17666176 19673696 22484224 25696256 27051332 30915808 35332352 39347392 44968448 51392512 54102664 61831616 70664704 78694784 89936896 108205328 123663232 141329408 157389568 179873792 216410656 247326464 282658816 314779136 359747584 432821312 494652928 565317632 629558272 865642624 989305856 1259116544 1731285248 1978611712 2518233088 3462570496 3957223424 6925140992 13850281984 27700563968