Search a number
-
+
168014730816 = 263456932
BaseRepresentation
bin1001110001111001110…
…1010101011001000000
3121001200020100122210000
42130132131111121000
510223043232341231
6205103534440000
715065363435232
oct2343635253100
9531606318700
10168014730816
1165288a32039
122868b963000
1312ac78699aa
1481bc134252
1545853e76e6
hex271e755640

168014730816 has 105 divisors (see below), whose sum is σ = 498135796081. Its totient is φ = 55995072768.

The previous prime is 168014730781. The next prime is 168014730823. The reversal of 168014730816 is 618037410861.

The square root of 168014730816 is 409896.

It is a perfect power (a square), and thus also a powerful number.

168014730816 is a `hidden beast` number, since 168 + 0 + 1 + 473 + 0 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20632449600 + 147382281216 = 143640^2 + 383904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29509666 + ... + 29515358.

Almost surely, 2168014730816 is an apocalyptic number.

168014730816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168014730816 is the 409896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168014730816

168014730816 is an abundant number, since it is smaller than the sum of its proper divisors (330121065265).

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

168014730816 is an frugal number, since it uses more digits than its factorization.

168014730816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11410 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 168014730816 in words is "one hundred sixty-eight billion, fourteen million, seven hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 5693 11386 17079 22772 34158 45544 51237 68316 91088 102474 136632 153711 182176 204948 273264 307422 364352 409896 461133 546528 614844 819792 922266 1093056 1229688 1639584 1844532 2459376 3279168 3689064 4918752 7378128 9837504 14756256 29512512 32410249 64820498 97230747 129640996 194461494 259281992 291692241 388922988 518563984 583384482 777845976 875076723 1037127968 1166768964 1555691952 1750153446 2074255936 2333537928 2625230169 3111383904 3500306892 4667075856 5250460338 6222767808 7000613784 9334151712 10500920676 14001227568 18668303424 21001841352 28002455136 42003682704 56004910272 84007365408 168014730816