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20462013513144 = 23327109372470029
BaseRepresentation
bin1001010011100001011110…
…00010111111110110111000
32200110011000220101202011200
410221300233002333312320
510140222200424410034
6111304041431054200
74211221525053210
oct451605702776670
980404026352150
1020462013513144
116579989203745
122365812b11360
13b55737578248
1450a51c489240
152573e5b63a99
hex129c2f0bfdb8

20462013513144 has 96 divisors (see below), whose sum is σ = 63915857148000. Its totient is φ = 5792653875456.

The previous prime is 20462013513131. The next prime is 20462013513169. The reversal of 20462013513144 is 44131531026402.

20462013513144 is a `hidden beast` number, since 2 + 0 + 4 + 620 + 1 + 3 + 5 + 13 + 14 + 4 = 666.

It is a super-2 number, since 2×204620135131442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20462013513099 and 20462013513108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186180079 + ... + 186289950.

It is an arithmetic number, because the mean of its divisors is an integer number (665790178625).

Almost surely, 220462013513144 is an apocalyptic number.

20462013513144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20462013513144 is an abundant number, since it is smaller than the sum of its proper divisors (43453843634856).

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

20462013513144 is a wasteful number, since it uses less digits than its factorization.

20462013513144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372470157 (or 372470150 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 20462013513144 its reverse (44131531026402), we get a palindrome (64593544539546).

The spelling of 20462013513144 in words is "twenty trillion, four hundred sixty-two billion, thirteen million, five hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 109 126 168 218 252 327 436 504 654 763 872 981 1308 1526 1962 2289 2616 3052 3924 4578 6104 6867 7848 9156 13734 18312 27468 54936 372470029 744940058 1117410087 1489880116 2234820174 2607290203 2979760232 3352230261 4469640348 5214580406 6704460522 7821870609 8939280696 10429160812 13408921044 15643741218 20858321624 23465611827 26817842088 31287482436 40599233161 46931223654 62574964872 81198466322 93862447308 121797699483 162396932644 187724894616 243595398966 284194632127 324793865288 365393098449 487190797932 568389264254 730786196898 852583896381 974381595864 1136778528508 1461572393796 1705167792762 2273557057016 2557751689143 2923144787592 3410335585524 5115503378286 6820671171048 10231006756572 20462013513144