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214668068796 = 223241594335693
BaseRepresentation
bin1100011111101100110…
…1101100011110111100
3202112002120211210011200
43013323031230132330
512004120011200141
6242341145415500
721336450322656
oct3077315543674
9675076753150
10214668068796
118304958a405
123572ba9a590
131732116a41c
14a5661bd6d6
1558b606dab6
hex31fb36c7bc

214668068796 has 144 divisors (see below), whose sum is σ = 566694666720. Its totient is φ = 68457000960.

The previous prime is 214668068753. The next prime is 214668068801. The reversal of 214668068796 is 697860866412.

214668068796 is a `hidden beast` number, since 2 + 1 + 466 + 8 + 0 + 6 + 87 + 96 = 666.

214668068796 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 37704526 + ... + 37710218.

It is an arithmetic number, because the mean of its divisors is an integer number (3935379630).

Almost surely, 2214668068796 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 214668068796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283347333360).

214668068796 is an abundant number, since it is smaller than the sum of its proper divisors (352026597924).

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

214668068796 is a wasteful number, since it uses less digits than its factorization.

214668068796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 214668068796 in words is "two hundred fourteen billion, six hundred sixty-eight million, sixty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 59 82 118 123 164 177 236 246 354 369 433 492 531 708 738 866 1062 1299 1476 1732 2124 2419 2598 3897 4838 5196 5693 7257 7794 9676 11386 14514 15588 17079 17753 21771 22772 25547 29028 34158 35506 43542 51094 51237 53259 68316 71012 76641 87084 102188 102474 106518 153282 159777 204948 213036 229923 233413 306564 319554 335887 459846 466826 639108 671774 700239 919692 933652 1007661 1047427 1343548 1400478 2015322 2094854 2100717 2465069 2800956 3022983 3142281 4030644 4189708 4201434 4930138 6045966 6284562 7395207 8402868 9426843 9860276 12091932 12569124 13771367 14790414 18853686 22185621 27542734 29580828 37707372 41314101 44371242 55085468 82628202 88742484 101067829 123942303 145439071 165256404 202135658 247884606 290878142 303203487 404271316 436317213 495769212 581756284 606406974 872634426 909610461 1212813948 1308951639 1745268852 1819220922 2617903278 3638441844 5235806556 5963001911 11926003822 17889005733 23852007644 35778011466 53667017199 71556022932 107334034398 214668068796