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109082236176 = 243217216192
BaseRepresentation
bin110010110010111001…
…1101101010100010000
3101102120010110202002100
41211211303231110100
53241400023024201
6122040042520400
710611105465114
oct1454563552420
9342503422070
10109082236176
1142297095611
1219183506100
13a395323ba4
1453cb361744
152c8675c886
hex1965ced510

109082236176 has 135 divisors (see below), whose sum is σ = 324493088101. Its totient is φ = 34200740352.

The previous prime is 109082236139. The next prime is 109082236187. The reversal of 109082236176 is 671632280901.

The square root of 109082236176 is 330276.

It is a perfect power (a square), and thus also a powerful number.

109082236176 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 8 + 2 + 23 + 617 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84925616400 + 24156619776 = 291420^2 + 155424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67375495 + ... + 67377113.

Almost surely, 2109082236176 is an apocalyptic number.

109082236176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109082236176 is the 330276-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109082236176

109082236176 is an abundant number, since it is smaller than the sum of its proper divisors (215410851925).

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

109082236176 is an equidigital number, since it uses as much as digits as its factorization.

109082236176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 109082236176 in words is "one hundred nine billion, eighty-two million, two hundred thirty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1619 1734 2312 2448 2601 3238 3468 4624 4857 5202 6476 6936 9714 10404 12952 13872 14571 19428 20808 25904 27523 29142 38856 41616 55046 58284 77712 82569 110092 116568 165138 220184 233136 247707 330276 440368 467891 495414 660552 935782 990828 1321104 1403673 1871564 1981656 2621161 2807346 3743128 3963312 4211019 5242322 5614692 7486256 7863483 8422038 10484644 11229384 15726966 16844076 20969288 22458768 23590449 31453932 33688152 41938576 44559737 47180898 62907864 67376304 89119474 94361796 125815728 133679211 178238948 188723592 267358422 356477896 377447184 401037633 534716844 712955792 757515529 802075266 1069433688 1515031058 1604150532 2138867376 2272546587 3030062116 3208301064 4545093174 6060124232 6416602128 6817639761 9090186348 12120248464 13635279522 18180372696 27270559044 36360745392 54541118088 109082236176