Search a number
-
+
168616722816 = 273437194373
BaseRepresentation
bin1001110100001001010…
…1110000000110000000
3121010020012010000120000
42131002111300012000
510230311340112231
6205243401320000
715116323332033
oct2350225600600
9533205100500
10168616722816
1165567820593
1228819496000
1312b924b2189
14823807901a
1545bd1aa6e6
hex2742570180

168616722816 has 160 divisors (see below), whose sum is σ = 502050344400. Its totient is φ = 56177611776.

The previous prime is 168616722739. The next prime is 168616722817. The reversal of 168616722816 is 618227616861.

168616722816 is a `hidden beast` number, since 1 + 6 + 8 + 616 + 7 + 2 + 2 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168616722817) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 38556406 + ... + 38560778.

Almost surely, 2168616722816 is an apocalyptic number.

168616722816 is a gapful number since it is divisible by the number (16) 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 168616722816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251025172200).

168616722816 is an abundant number, since it is smaller than the sum of its proper divisors (333433621584).

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

168616722816 is an equidigital number, since it uses as much as digits as its factorization.

168616722816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118 (or 8097 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 168616722816 in words is "one hundred sixty-eight billion, six hundred sixteen million, seven hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 3719 4373 5184 7438 8746 10368 11157 13119 14876 17492 22314 26238 29752 33471 34984 39357 44628 52476 59504 66942 69968 78714 89256 100413 104952 118071 119008 133884 139936 157428 178512 200826 209904 236142 238016 267768 279872 301239 314856 354213 357024 401652 419808 472284 476032 535536 559744 602478 629712 708426 714048 803304 839616 944568 1071072 1204956 1259424 1416852 1428096 1606608 1679232 1889136 2142144 2409912 2518848 2833704 3213216 3778272 4284288 4819824 5037696 5667408 6426432 7556544 9639648 11334816 12852864 15113088 16263187 19279296 22669632 32526374 38558592 45339264 48789561 65052748 97579122 130105496 146368683 195158244 260210992 292737366 390316488 439106049 520421984 585474732 780632976 878212098 1040843968 1170949464 1317318147 1561265952 1756424196 2081687936 2341898928 2634636294 3122531904 3512848392 4683797856 5269272588 6245063808 7025696784 9367595712 10538545176 14051393568 18735191424 21077090352 28102787136 42154180704 56205574272 84308361408 168616722816