Search a number
-
+
118097182720 = 2185118191
BaseRepresentation
bin110110111111100100…
…1000000000000000000
3102021211101200110220101
41231333021000000000
53413330334321340
6130130400252144
711350362330106
oct1557711000000
9367741613811
10118097182720
11460a2865360
121aa7a611054
13b1a0c0839a
145a04747c76
153112ddcc9a
hex1b7f240000

118097182720 has 152 divisors (see below), whose sum is σ = 309237055488. Its totient is φ = 42939187200.

The previous prime is 118097182711. The next prime is 118097182747. The reversal of 118097182720 is 27281790811.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14413825 + ... + 14422015.

Almost surely, 2118097182720 is an apocalyptic number.

118097182720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118097182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154618527744).

118097182720 is an abundant number, since it is smaller than the sum of its proper divisors (191139872768).

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

118097182720 is an frugal number, since it uses more digits than its factorization.

118097182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 46.

The spelling of 118097182720 in words is "one hundred eighteen billion, ninety-seven million, one hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5120 5632 7040 8191 8192 10240 11264 14080 16382 16384 20480 22528 28160 32764 32768 40955 40960 45056 56320 65528 65536 81910 81920 90101 90112 112640 131056 131072 163820 163840 180202 180224 225280 262112 262144 327640 327680 360404 360448 450505 450560 524224 655280 655360 720808 720896 901010 901120 1048448 1310560 1310720 1441616 1441792 1802020 1802240 2096896 2621120 2883232 2883584 3604040 3604480 4193792 5242240 5766464 7208080 7208960 8387584 10484480 11532928 14416160 14417920 16775168 20968960 23065856 28832320 33550336 41937920 46131712 57664640 67100672 83875840 92263424 115329280 134201344 167751680 184526848 230658560 268402688 335503360 369053696 461317120 536805376 671006720 738107392 922634240 1073610752 1342013440 1476214784 1845268480 2147221504 2684026880 2952429568 3690536960 5368053760 5904859136 7381073920 10736107520 11809718272 14762147840 23619436544 29524295680 59048591360 118097182720