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461106451341150 = 235223472843703061
BaseRepresentation
bin110100011010111111011011…
…0001111000101111101011110
32020110122100100102001111011220
41220311332312033011331132
5440414232003020404100
64312405213541354210
7166060561501200306
oct15065766617057536
92213570312044156
10461106451341150
11123a1716984189a
1243871629708966
1316a3a1c8619524
1481c1958184606
153849684c20aa0
hex1a35fb63c5f5e

461106451341150 has 96 divisors (see below), whose sum is σ = 1218651885001728. Its totient is φ = 115113099868800.

The previous prime is 461106451341143. The next prime is 461106451341161. The reversal of 461106451341150 is 51143154601164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1421689381 + ... + 1422013680.

It is an arithmetic number, because the mean of its divisors is an integer number (12694290468768).

Almost surely, 2461106451341150 is an apocalyptic number.

461106451341150 is an abundant number, since it is smaller than the sum of its proper divisors (757545433660578).

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

461106451341150 is a wasteful number, since it uses less digits than its factorization.

461106451341150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843703146 (or 2843703141 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 461106451341150 in words is "four hundred sixty-one trillion, one hundred six billion, four hundred fifty-one million, three hundred forty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 47 50 69 75 94 115 138 141 150 230 235 282 345 470 575 690 705 1081 1150 1175 1410 1725 2162 2350 3243 3450 3525 5405 6486 7050 10810 16215 27025 32430 54050 81075 162150 2843703061 5687406122 8531109183 14218515305 17062218366 28437030610 42655545915 65405170403 71092576525 85311091830 130810340806 133654043867 142185153050 196215511209 213277729575 267308087734 327025852015 392431022418 400962131601 426555459150 654051704030 668270219335 801924263202 981077556045 1336540438670 1635129260075 1962155112090 2004810658005 3074043008941 3270258520150 3341351096675 4009621316010 4905387780225 6148086017882 6682702193350 9222129026823 9810775560450 10024053290025 15370215044705 18444258053646 20048106580050 30740430089410 46110645134115 76851075223525 92221290268230 153702150447050 230553225670575 461106451341150