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11416355361411 = 37111337102747301
BaseRepresentation
bin1010011000100001001111…
…0011100101001010000011
31111102101121102201111022120
42212020103303211022003
52444021143433031121
640140333511535323
72255542633311630
oct246102363451203
944371542644276
1011416355361411
113701715a83420
12134469638a543
1364a73332ac30
142b67a9971187
1514be73d90bc6
hexa6213ce5283

11416355361411 has 64 divisors (see below), whose sum is σ = 20990040830976. Its totient is φ = 5326420032000.

The previous prime is 11416355361379. The next prime is 11416355361451.

11416355361411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11416355361411 - 25 = 11416355361379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11416355361451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51262540 + ... + 51484761.

It is an arithmetic number, because the mean of its divisors is an integer number (327969387984).

Almost surely, 211416355361411 is an apocalyptic number.

11416355361411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11416355361411 is a deficient number, since it is larger than the sum of its proper divisors (9573685469565).

11416355361411 is a wasteful number, since it uses less digits than its factorization.

11416355361411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102747372.

The product of its digits is 129600, while the sum is 42.

The spelling of 11416355361411 in words is "eleven trillion, four hundred sixteen billion, three hundred fifty-five million, three hundred sixty-one thousand, four hundred eleven".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 102747301 308241903 719231107 1130220311 1335714913 2157693321 3390660933 3801650137 4007144739 7911542177 9350004391 11404950411 14692864043 23734626531 26611550959 28050013173 41818151507 44078592129 49421451781 79834652877 102850048301 125454454521 148264355343 292727060549 308550144903 345950162467 543635969591 878181181647 1037850487401 1630907908773 3805451787137 11416355361411