Search a number
-
+
12168367937604 = 223223731093184187
BaseRepresentation
bin1011000100010010101100…
…1111111001100001000100
31121002021200111001112012100
42301010223033321201010
53043331304143000404
641514023203152100
72364064333612164
oct261045317714104
947067614045170
1012168367937604
11397163752137a
121446389975630
136a361a496278
14300d489b65a4
151617d9336d39
hexb112b3f9844

12168367937604 has 144 divisors (see below), whose sum is σ = 32565894221952. Its totient is φ = 3823100176896.

The previous prime is 12168367937591. The next prime is 12168367937639. The reversal of 12168367937604 is 40673976386121.

It is a happy number.

12168367937604 is a `hidden beast` number, since 1 + 2 + 16 + 8 + 3 + 6 + 7 + 9 + 3 + 7 + 604 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65973199 + ... + 66157385.

It is an arithmetic number, because the mean of its divisors is an integer number (226152043208).

Almost surely, 212168367937604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12168367937604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282947110976).

12168367937604 is an abundant number, since it is smaller than the sum of its proper divisors (20397526284348).

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

12168367937604 is a wasteful number, since it uses less digits than its factorization.

12168367937604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185386 (or 185381 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 12168367937604 in words is "twelve trillion, one hundred sixty-eight billion, three hundred sixty-seven million, nine hundred thirty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 73 92 138 146 207 219 276 292 414 438 657 828 876 1093 1314 1679 2186 2628 3279 3358 4372 5037 6558 6716 9837 10074 13116 15111 19674 20148 25139 30222 39348 50278 60444 75417 79789 100556 150834 159578 184187 226251 239367 301668 319156 368374 452502 478734 552561 718101 736748 905004 957468 1105122 1436202 1657683 1835147 2210244 2872404 3315366 3670294 4236301 5505441 6630732 7340588 8472602 11010882 12708903 13445651 16516323 16945204 22021764 25417806 26891302 33032646 38126709 40336953 50835612 53782604 66065292 76253418 80673906 121010859 152506836 161347812 201316391 242021718 309249973 402632782 484043436 603949173 618499946 805265564 927749919 1207898346 1236999892 1811847519 1855499838 2415796692 2783249757 3623695038 3710999676 4630276993 5566499514 7247390076 9260553986 11132999028 13890830979 14696096543 18521107972 27781661958 29392193086 41672492937 44088289629 55563323916 58784386172 83344985874 88176579258 132264868887 166689971748 176353158516 264529737774 338010220489 529059475548 676020440978 1014030661467 1352040881956 2028061322934 3042091984401 4056122645868 6084183968802 12168367937604