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27021901968 = 243479263927
BaseRepresentation
bin11001001010101000…
…011000000010010000
32120202012110211220000
4121022220120002100
5420320101330333
620225205050000
71644425243205
oct311250300220
976665424800
1027021901968
1110507182996
1252a16b6900
1327183ab909
141444b03cac
15a8245e713
hex64aa18090

27021901968 has 100 divisors (see below), whose sum is σ = 79199514240. Its totient is φ = 8893250496.

The previous prime is 27021901957. The next prime is 27021901987. The reversal of 27021901968 is 86910912072.

27021901968 is a `hidden beast` number, since 270 + 2 + 190 + 196 + 8 = 666.

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 19 ways as a sum of consecutive naturals, for example, 29580 + ... + 234347.

Almost surely, 227021901968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27021901968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39599757120).

27021901968 is an abundant number, since it is smaller than the sum of its proper divisors (52177612272).

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

27021901968 is a wasteful number, since it uses less digits than its factorization.

27021901968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264026 (or 264011 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 27021901968 in words is "twenty-seven billion, twenty-one million, nine hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 316 324 432 474 632 648 711 948 1264 1296 1422 1896 2133 2844 3792 4266 5688 6399 8532 11376 12798 17064 25596 34128 51192 102384 263927 527854 791781 1055708 1583562 2111416 2375343 3167124 4222832 4750686 6334248 7126029 9501372 12668496 14252058 19002744 20850233 21378087 28504116 38005488 41700466 42756174 57008232 62550699 83400932 85512348 114016464 125101398 166801864 171024696 187652097 250202796 333603728 342049392 375304194 500405592 562956291 750608388 1000811184 1125912582 1501216776 1688868873 2251825164 3002433552 3377737746 4503650328 6755475492 9007300656 13510950984 27021901968