Search a number
-
+
163241633164365 = 33572112106738861
BaseRepresentation
bin100101000111011110100111…
…100011101010110001001101
3210101222202012002101220001000
4211013132213203222301031
5132344022331042224430
61335104100534010513
746245550563431040
oct4507364743526115
9711882162356030
10163241633164365
114801742a247808
12163853a47a6a39
13701180a070ba2
142c44d19978c57
1513d14520c2e60
hex9477a78eac4d

163241633164365 has 128 divisors (see below), whose sum is σ = 333261808496640. Its totient is φ = 74265638227200.

The previous prime is 163241633164273. The next prime is 163241633164367. The reversal of 163241633164365 is 563461336142361.

163241633164365 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 416 + 3 + 3 + 164 + 3 + 65 = 666.

It is not a de Polignac number, because 163241633164365 - 221 = 163241631067213 is a prime.

It is a super-2 number, since 2×1632416331643652 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163241633164367) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4200635035 + ... + 4200673895.

It is an arithmetic number, because the mean of its divisors is an integer number (2603607878880).

Almost surely, 2163241633164365 is an apocalyptic number.

163241633164365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163241633164365 is an abundant number, since it is smaller than the sum of its proper divisors (170020175332275).

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

163241633164365 is a wasteful number, since it uses less digits than its factorization.

163241633164365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60160 (or 60154 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 163241633164365 in words is "one hundred sixty-three trillion, two hundred forty-one billion, six hundred thirty-three million, one hundred sixty-four thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 211 315 633 945 1055 1477 1899 3165 4431 5697 7385 9495 13293 21067 22155 28485 38861 39879 63201 66465 105335 116583 147469 189603 194305 199395 272027 316005 349749 442407 568809 582915 737345 816081 948015 1049247 1327221 1360135 1748745 2212035 2448243 2844045 3981663 4080405 4445137 5246235 6636105 7344729 8199671 12241215 13335411 19908315 22225685 24599013 31115959 36723645 40006233 40998355 57397697 66677055 73797039 93347877 120018699 122995065 155579795 172193091 200031165 221391117 280043631 286988485 368985195 466739385 516579273 600093495 818684687 840130893 860965455 1106955585 1400218155 1549737819 2456054061 2582896365 4093423435 4200654465 5730792809 7368162183 7748689095 12280270305 17192378427 22104486549 28653964045 36840810915 51577135281 85961892135 110522432745 154731405843 172742468957 257885676405 518227406871 773657029215 863712344785 1209197282699 1554682220613 2591137034355 3627591848097 4664046661839 6045986413495 7773411103065 10882775544291 18137959240485 23320233309195 32648326632873 54413877721455 163241633164365