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27028110144 = 2637171182953
BaseRepresentation
bin11001001011000000…
…000011101101000000
32120202122011020220110
4121023000003231000
5420323144011034
620225550111320
71644532100640
oct311300035500
976678136813
1027028110144
111050a733212
1252a37ab540
1327197735a9
14144587c520
15a82c88de9
hex64b003b40

27028110144 has 112 divisors (see below), whose sum is σ = 86535451008. Its totient is φ = 7268057088.

The previous prime is 27028110139. The next prime is 27028110163. The reversal of 27028110144 is 44101182072.

It is a tau number, because it is divible by the number of its divisors (112).

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, 568629 + ... + 614324.

Almost surely, 227028110144 is an apocalyptic number.

27028110144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27028110144 is an abundant number, since it is smaller than the sum of its proper divisors (59507340864).

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

27028110144 is a wasteful number, since it uses less digits than its factorization.

27028110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182992 (or 1182982 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The spelling of 27028110144 in words is "twenty-seven billion, twenty-eight million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 1182953 2365906 3548859 4731812 7097718 8280671 9463624 14195436 16561342 18927248 20110201 24842013 28390872 33122684 37854496 40220402 49684026 56781744 60330603 66245368 75708992 80440804 99368052 113563488 120661206 132490736 140771407 160881608 198736104 227126976 241322412 264981472 281542814 321763216 397472208 422314221 482644824 529962944 563085628 643526432 794944416 844628442 965289648 1126171256 1287052864 1589888832 1689256884 1930579296 2252342512 3378513768 3861158592 4504685024 6757027536 9009370048 13514055072 27028110144