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109215435168 = 2532727739189
BaseRepresentation
bin110010110110110111…
…1110100100110100000
3101102220102002221202100
41211231233310212200
53242133122411133
6122101201450400
710614313611300
oct1455557644640
9342812087670
10109215435168
11423552a1a24
1219200040a00
13a3b6abc768
145400d15600
152c932bde13
hex196dbf49a0

109215435168 has 108 divisors (see below), whose sum is σ = 361288606770. Its totient is φ = 31204406016.

The previous prime is 109215435139. The next prime is 109215435191. The reversal of 109215435168 is 861534512901.

It is a happy number.

109215435168 is a `hidden beast` number, since 1 + 0 + 92 + 1 + 5 + 43 + 516 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106388173584 + 2827261584 = 326172^2 + 53172^2 .

It is a super-2 number, since 2×1092154351682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3855483 + ... + 3883706.

Almost surely, 2109215435168 is an apocalyptic number.

109215435168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109215435168 is an abundant number, since it is smaller than the sum of its proper divisors (252073171602).

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

109215435168 is a wasteful number, since it uses less digits than its factorization.

109215435168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7739219 (or 7739201 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 109215435168 in words is "one hundred nine billion, two hundred fifteen million, four hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 7739189 15478378 23217567 30956756 46435134 54174323 61913512 69652701 92870268 108348646 123827024 139305402 162522969 185740536 216697292 247654048 278610804 325045938 371481072 379220261 433394584 487568907 557221608 650091876 742962144 758440522 866789168 975137814 1114443216 1137660783 1300183752 1516881044 1733578336 1950275628 2228886432 2275321566 2600367504 3033762088 3412982349 3900551256 4550643132 5200735008 6067524176 6825964698 7801102512 9101286264 12135048352 13651929396 15602205024 18202572528 27303858792 36405145056 54607717584 109215435168