Search a number
-
+
18060720192 = 263223259273
BaseRepresentation
bin10000110100100000…
…001011100001000000
31201121200102122110200
4100310200023201000
5243442021021232
612144051525200
71206363405624
oct206440134100
951550378420
1018060720192
117728895439
1236005b9800
13191a9a02a8
14c34915184
1570a89e77c
hex43480b840

18060720192 has 126 divisors (see below), whose sum is σ = 54117339822. Its totient is φ = 5758393344.

The previous prime is 18060720191. The next prime is 18060720203. The reversal of 18060720192 is 29102706081.

18060720192 is a `hidden beast` number, since 18 + 0 + 607 + 20 + 19 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15701092416 + 2359627776 = 125304^2 + 48576^2 .

It is a super-2 number, since 2×180607201922 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18060720191) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 275068 + ... + 334340.

It is an arithmetic number, because the mean of its divisors is an integer number (429502697).

Almost surely, 218060720192 is an apocalyptic number.

18060720192 is a gapful number since it is divisible by the number (12) 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 18060720192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27058669911).

18060720192 is an abundant number, since it is smaller than the sum of its proper divisors (36056619630).

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

18060720192 is a wasteful number, since it uses less digits than its factorization.

18060720192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59337 (or 59301 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 18060720192 in words is "eighteen billion, sixty million, seven hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 529 552 576 736 828 1058 1104 1472 1587 1656 2116 2208 3174 3312 4232 4416 4761 6348 6624 8464 9522 12696 13248 16928 19044 25392 33856 38088 50784 59273 76176 101568 118546 152352 177819 237092 304704 355638 474184 533457 711276 948368 1066914 1363279 1422552 1896736 2133828 2726558 2845104 3793472 4089837 4267656 5453116 5690208 8179674 8535312 10906232 11380416 12269511 16359348 17070624 21812464 24539022 31355417 32718696 34141248 43624928 49078044 62710834 65437392 87249856 94066251 98156088 125421668 130874784 188132502 196312176 250843336 261749568 282198753 376265004 392624352 501686672 564397506 752530008 785248704 1003373344 1128795012 1505060016 2006746688 2257590024 3010120032 4515180048 6020240064 9030360096 18060720192