Search a number
-
+
546461424164646 = 237791938194007
BaseRepresentation
bin111110001000000001111011…
…1000100100001111100100110
32122122212012110020000110000000
41330100003313010201330212
51033111210444041232041
65214120525042202130
7223050351341310054
oct17420036704417446
92578765406013000
10546461424164646
11149134a967a2721
1251357a75353346
131a5bc125446113
1498d2c3457d1d4
154329ab0768bb6
hex1f100f7121f26

546461424164646 has 128 divisors (see below), whose sum is σ = 1251362680934400. Its totient is φ = 178916186562048.

The previous prime is 546461424164641. The next prime is 546461424164653. The reversal of 546461424164646 is 646461424164645.

546461424164646 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 6 + 1 + 424 + 164 + 6 + 46 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546461424164641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62593375 + ... + 70787381.

It is an arithmetic number, because the mean of its divisors is an integer number (9776270944800).

Almost surely, 2546461424164646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546461424164646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625681340467200).

546461424164646 is an abundant number, since it is smaller than the sum of its proper divisors (704901256769754).

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

546461424164646 is an equidigital number, since it uses as much as digits as its factorization.

546461424164646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8194302 (or 8194284 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 63.

Subtracting 546461424164646 from its reverse (646461424164645), we obtain a palindrome (99999999999999).

The spelling of 546461424164646 in words is "five hundred forty-six trillion, four hundred sixty-one billion, four hundred twenty-four million, one hundred sixty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 193 237 243 386 474 486 579 711 729 1158 1422 1458 1737 2133 2187 3474 4266 4374 5211 6399 10422 12798 15247 15633 19197 30494 31266 38394 45741 46899 57591 91482 93798 115182 137223 140697 172773 274446 281394 345546 411669 422091 823338 844182 1235007 2470014 3705021 7410042 8194007 11115063 16388014 22230126 24582021 33345189 49164042 66690378 73746063 147492126 221238189 442476378 647326553 663714567 1294653106 1327429134 1581443351 1941979659 1991143701 3162886702 3883959318 3982287402 4744330053 5825938977 5973431103 9488660106 11651877954 11946862206 14232990159 17477816931 17920293309 28465980318 34955633862 35840586618 42698970477 52433450793 85397940954 104866901586 124934024729 128096911431 157300352379 249868049458 256193822862 314600704758 374802074187 384290734293 471901057137 749604148374 768581468586 943802114274 1124406222561 1152872202879 1415703171411 2248812445122 2305744405758 2831406342822 3373218667683 3458616608637 6746437335366 6917233217274 10119656003049 20239312006098 30358968009147 60717936018294 91076904027441 182153808054882 273230712082323 546461424164646