Search a number
-
+
109368870048 = 25321722338413
BaseRepresentation
bin110010111011011100…
…1001000010010100000
3101110022002211020211200
41211312321020102200
53242441412320143
6122124322241200
710621156025304
oct1456671102240
9343262736750
10109368870048
114242396a909
12192434b6200
13a40c821c29
145417455d04
152ca19cb1d3
hex1976e484a0

109368870048 has 72 divisors (see below), whose sum is σ = 329312899188. Its totient is φ = 34311800832.

The previous prime is 109368870041. The next prime is 109368870073. The reversal of 109368870048 is 840078863901.

It can be written as a sum of positive squares in 2 ways, for example, as 83977084944 + 25391785104 = 289788^2 + 159348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 109368869976 and 109368870003.

It is not an unprimeable number, because it can be changed into a prime (109368870041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11164311 + ... + 11174102.

Almost surely, 2109368870048 is an apocalyptic number.

109368870048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109368870048 is an abundant number, since it is smaller than the sum of its proper divisors (219944029140).

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

109368870048 is a wasteful number, since it uses less digits than its factorization.

109368870048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22338446 (or 22338435 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 109368870048 in words is "one hundred nine billion, three hundred sixty-eight million, eight hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 22338413 44676826 67015239 89353652 134030478 178707304 201045717 268060956 357414608 379753021 402091434 536121912 714829216 759506042 804182868 1072243824 1139259063 1519012084 1608365736 2144487648 2278518126 3038024168 3216731472 3417777189 4557036252 6076048336 6433462944 6835554378 9114072504 12152096672 13671108756 18228145008 27342217512 36456290016 54684435024 109368870048