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164153235114 = 2321137139161201
BaseRepresentation
bin1001100011100001001…
…0111001011010101010
3120200201010021100111200
42120320102321122222
510142141212010424
6203224433305030
714600604322251
oct2307022713252
9520633240450
10164153235114
1163687249180
1227992705176
13126308508ab
147d33355798
15440b3d08c9
hex26384b96aa

164153235114 has 96 divisors (see below), whose sum is σ = 401354291520. Its totient is φ = 48050496000.

The previous prime is 164153235109. The next prime is 164153235133. The reversal of 164153235114 is 411532351461.

164153235114 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 532 + 3 + 5 + 114 = 666.

It is a Curzon 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, 937714 + ... + 1098914.

It is an arithmetic number, because the mean of its divisors is an integer number (4180773870).

Almost surely, 2164153235114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164153235114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200677145760).

164153235114 is an abundant number, since it is smaller than the sum of its proper divisors (237201056406).

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

164153235114 is a wasteful number, since it uses less digits than its factorization.

164153235114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161396 (or 161393 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 164153235114 its reverse (411532351461), we get a palindrome (575685586575).

The spelling of 164153235114 in words is "one hundred sixty-four billion, one hundred fifty-three million, two hundred thirty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 139 198 222 278 333 407 417 666 814 834 1221 1251 1529 2442 2502 3058 3663 4587 5143 7326 9174 10286 13761 15429 27522 30858 46287 56573 92574 113146 161201 169719 322402 339438 483603 509157 967206 1018314 1450809 1773211 2901618 3546422 5319633 5964437 10639266 11928874 15958899 17893311 22406939 31917798 35786622 44813878 53679933 65608807 67220817 107359866 131217614 134441634 196826421 201662451 246476329 393652842 403324902 492952658 590479263 739428987 829056743 1180958526 1478857974 1658113486 2218286961 2487170229 4436573922 4974340458 7461510687 9119624173 14923021374 18239248346 27358872519 54717745038 82076617557 164153235114