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27109018080 = 2532523818509
BaseRepresentation
bin11001001111110100…
…101100100111100000
32120222021101210201200
4121033310230213200
5421004402034310
620242000201200
71646533565064
oct311764544740
976867353650
1027109018080
1110551374581
125306909200
132730461001
1414524ddaa4
15a89e1b9c0
hex64fd2c9e0

27109018080 has 144 divisors (see below), whose sum is σ = 96531795360. Its totient is φ = 6914755584.

The previous prime is 27109018009. The next prime is 27109018081. The reversal of 27109018080 is 8081090172.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×271090180802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27109018081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376135 + ... + 442374.

It is an arithmetic number, because the mean of its divisors is an integer number (670359690).

Almost surely, 227109018080 is an apocalyptic number.

27109018080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27109018080 is an abundant number, since it is smaller than the sum of its proper divisors (69422777280).

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

27109018080 is a wasteful number, since it uses less digits than its factorization.

27109018080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818553 (or 818542 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 27109018080 in words is "twenty-seven billion, one hundred nine million, eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 818509 1637018 2455527 3274036 4092545 4911054 6548072 7366581 8185090 9822108 12277635 13096144 14733162 16370180 18825707 19644216 24555270 26192288 29466324 32740360 36832905 37651414 39288432 49110540 56477121 58932648 65480720 73665810 75302828 78576864 94128535 98221080 112954242 117865296 130961440 147331620 150605656 169431363 188257070 196442160 225908484 235730592 282385605 294663240 301211312 338862726 376514140 392884320 451816968 564771210 589326480 602422624 677725452 753028280 847156815 903633936 1129542420 1178652960 1355450904 1506056560 1694313630 1807267872 2259084840 2710901808 3012113120 3388627260 4518169680 5421803616 6777254520 9036339360 13554509040 27109018080