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13818620137356 = 2233233354843629
BaseRepresentation
bin1100100100010110010111…
…1100011100111110001100
31210221001021101201020211000
43021011211330130332030
53302401013223343411
645220104135100300
72624235201065226
oct311054574347614
953831241636730
1013818620137356
1144484978a9261
121672183b11690
13793123491a38
1435ab792c3416
1518e6c24cb956
hexc9165f1cf8c

13818620137356 has 48 divisors (see below), whose sum is σ = 35841409077600. Its totient is φ = 4604232257856.

The previous prime is 13818620137339. The next prime is 13818620137379. The reversal of 13818620137356 is 65373102681831.

13818620137356 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 8 + 620 + 1 + 3 + 7 + 3 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27169851 + ... + 27673778.

It is an arithmetic number, because the mean of its divisors is an integer number (746696022450).

Almost surely, 213818620137356 is an apocalyptic number.

It is an amenable number.

13818620137356 is an abundant number, since it is smaller than the sum of its proper divisors (22022788940244).

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

13818620137356 is a wasteful number, since it uses less digits than its factorization.

13818620137356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54845975 (or 54845967 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13818620137356 in words is "thirteen trillion, eight hundred eighteen billion, six hundred twenty million, one hundred thirty-seven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2333 4666 6999 9332 13998 20997 27996 41994 62991 83988 125982 251964 54843629 109687258 164530887 219374516 329061774 493592661 658123548 987185322 1480777983 1974370644 2961555966 5923111932 127950186457 255900372914 383850559371 511800745828 767701118742 1151551678113 1535402237484 2303103356226 3454655034339 4606206712452 6909310068678 13818620137356