Search a number
-
+
120160315008 = 2732176135637
BaseRepresentation
bin110111111101000011…
…1001110011010000000
3102111011011211110100100
41233322013032122000
53432042020040013
6131111220322400
711452453553046
oct1577207163200
9374134743310
10120160315008
1146a61402168
121b355543400
13b43c488316
145b5c758396
1531d40c1473
hex1bfa1ce680

120160315008 has 96 divisors (see below), whose sum is σ = 366113519460. Its totient is φ = 37697347584.

The previous prime is 120160315007. The next prime is 120160315043. The reversal of 120160315008 is 800513061021.

120160315008 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 603 + 1 + 50 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116750689344 + 3409625664 = 341688^2 + 58392^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (120160315007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3048235 + ... + 3087402.

Almost surely, 2120160315008 is an apocalyptic number.

120160315008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120160315008 is an abundant number, since it is smaller than the sum of its proper divisors (245953204452).

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

120160315008 is a wasteful number, since it uses less digits than its factorization.

120160315008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135674 (or 6135659 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 120160315008 its reverse (800513061021), we get a palindrome (920673376029).

The spelling of 120160315008 in words is "one hundred twenty billion, one hundred sixty million, three hundred fifteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 6135637 12271274 18406911 24542548 36813822 49085096 55220733 73627644 98170192 104305829 110441466 147255288 196340384 208611658 220882932 294510576 312917487 392680768 417223316 441765864 589021152 625834974 785361536 834446632 883531728 938752461 1178042304 1251669948 1668893264 1767063456 1877504922 2356084608 2503339896 3337786528 3534126912 3755009844 5006679792 6675573056 7068253824 7510019688 10013359584 13351146112 15020039376 20026719168 30040078752 40053438336 60080157504 120160315008