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13763475864 = 23322947140249
BaseRepresentation
bin11001101000101110…
…11111100110011000
31022112012102000110100
430310113133212120
5211141422211424
610153423015400
7665033420535
oct146427374630
938465360410
1013763475864
11592313a146
12280143a560
1313b4607178
14947d07d8c
155584b1dc9
hex3345df998

13763475864 has 96 divisors (see below), whose sum is σ = 39382200000. Its totient is φ = 4335346176.

The previous prime is 13763475857. The next prime is 13763475877. The reversal of 13763475864 is 46857436731.

It is a happy number.

13763475864 is a `hidden beast` number, since 1 + 37 + 63 + 475 + 86 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13763475864.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28012 + ... + 168260.

It is an arithmetic number, because the mean of its divisors is an integer number (410231250).

Almost surely, 213763475864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13763475864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19691100000).

13763475864 is an abundant number, since it is smaller than the sum of its proper divisors (25618724136).

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

13763475864 is a wasteful number, since it uses less digits than its factorization.

13763475864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140337 (or 140330 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 13763475864 in words is "thirteen billion, seven hundred sixty-three million, four hundred seventy-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 47 58 72 87 94 116 141 174 188 232 261 282 348 376 423 522 564 696 846 1044 1128 1363 1692 2088 2726 3384 4089 5452 8178 10904 12267 16356 24534 32712 49068 98136 140249 280498 420747 560996 841494 1121992 1262241 1682988 2524482 3365976 4067221 5048964 6591703 8134442 10097928 12201663 13183406 16268884 19775109 24403326 26366812 32537768 36604989 39550218 48806652 52733624 59325327 73209978 79100436 97613304 118650654 146419956 158200872 191159387 237301308 292839912 382318774 474602616 573478161 764637548 1146956322 1529275096 1720434483 2293912644 3440868966 4587825288 6881737932 13763475864