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550401243121016 = 237792111279461011
BaseRepresentation
bin111110100100101100100011…
…0100101001000010101111000
32200011210211210222110101000022
41331021121012211020111320
51034120233221214333031
65230334501311430012
7223635114621012410
oct17511310645102570
92604724728411008
10550401243121016
1114a4139468a14a1
1251893546825308
131a8167cb136761
1499cb7c2d7d640
1543972ed15d97b
hex1f49646948578

550401243121016 has 128 divisors (see below), whose sum is σ = 1200962076672000. Its totient is φ = 231614817033600.

The previous prime is 550401243120991. The next prime is 550401243121019. The reversal of 550401243121016 is 610121342104055.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550401243121019) 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 31 ways as a sum of consecutive naturals, for example, 1193669951 + ... + 1194130961.

It is an arithmetic number, because the mean of its divisors is an integer number (9382516224000).

Almost surely, 2550401243121016 is an apocalyptic number.

550401243121016 is a gapful number since it is divisible by the number (56) 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 550401243121016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600481038336000).

550401243121016 is an abundant number, since it is smaller than the sum of its proper divisors (650560833550984).

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

550401243121016 is a wasteful number, since it uses less digits than its factorization.

550401243121016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462593 (or 462589 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 550401243121016 in words is "five hundred fifty trillion, four hundred one billion, two hundred forty-three million, one hundred twenty-one thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 79 158 211 316 422 553 632 844 1106 1279 1477 1688 2212 2558 2954 4424 5116 5908 8953 10232 11816 16669 17906 33338 35812 66676 71624 101041 116683 133352 202082 233366 269869 404164 461011 466732 539738 707287 808328 922022 933464 1079476 1414574 1844044 1889083 2158952 2829148 3227077 3688088 3778166 5658296 6454154 7556332 12908308 15112664 21319651 25816616 36419869 42639302 72839738 85278604 97273321 145679476 149237557 170557208 194546642 254939083 291358952 298475114 389093284 509878166 589633069 596950228 680913247 778186568 1019756332 1179266138 1193900456 1361826494 2039512664 2358532276 2723652988 4127431483 4717064552 5447305976 7684592359 8254862966 15369184718 16509725932 30738369436 33019451864 46581012451 53792146513 61476738872 93162024902 107584293026 124412577559 186324049804 215168586052 248825155118 326067087157 372648099608 430337172104 497650310236 652134174314 870888042913 995300620472 1304268348628 1741776085826 2608536697256 3483552171652 6967104343304 9828593627161 19657187254322 39314374508644 68800155390127 78628749017288 137600310780254 275200621560508 550401243121016