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13876145450104 = 237617355645253
BaseRepresentation
bin1100100111101100101010…
…1110000110110001111000
31211010112202102201220211211
43021323022232012301320
53304321321213400404
645302340242132504
72631342551141260
oct311731256066170
954115672656754
1013876145450104
11446a9273a1143
121681359051134
13798690313132
1435d8752347a0
15190e3c853b04
hexc9ecab86c78

13876145450104 has 64 divisors (see below), whose sum is σ = 30636051042240. Its totient is φ = 5769299727360.

The previous prime is 13876145450093. The next prime is 13876145450113. The reversal of 13876145450104 is 40105454167831.

It is a super-2 number, since 2×138761454501042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 27573259 + ... + 28071994.

It is an arithmetic number, because the mean of its divisors is an integer number (478688297535).

Almost surely, 213876145450104 is an apocalyptic number.

13876145450104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13876145450104 is an abundant number, since it is smaller than the sum of its proper divisors (16759905592136).

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

13876145450104 is a wasteful number, since it uses less digits than its factorization.

13876145450104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55645400 (or 55645396 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 13876145450104 in words is "thirteen trillion, eight hundred seventy-six billion, one hundred forty-five million, four hundred fifty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 61 73 122 146 244 292 427 488 511 584 854 1022 1708 2044 3416 4088 4453 8906 17812 31171 35624 62342 124684 249368 55645253 111290506 222581012 389516771 445162024 779033542 1558067084 3116134168 3394360433 4062103469 6788720866 8124206938 13577441732 16248413876 23760523031 27154883464 28434724283 32496827752 47521046062 56869448566 95042092124 113738897132 190084184248 227477794264 247788311609 495576623218 991153246436 1734518181263 1982306492872 3469036362526 6938072725052 13876145450104