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13805088376293 = 3229189149279637
BaseRepresentation
bin1100100011100011111101…
…1000111000010111100101
31210212202100100022120022100
43020320333120320113211
53302140310111020133
645205545310322313
72623245650031624
oct310707730702745
953782310276270
1013805088376293
114442783543955
12166b6281b9399
13791a77b97526
1435a2540956bb
1518e17e53ae13
hexc8e3f6385e5

13805088376293 has 24 divisors (see below), whose sum is σ = 20628475803000. Its totient is φ = 8885955141504.

The previous prime is 13805088376267. The next prime is 13805088376301. The reversal of 13805088376293 is 39267388050831.

13805088376293 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 508 + 8 + 37 + 6 + 2 + 93 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104304453444 + 13700783922849 = 322962^2 + 3701457^2 .

It is not a de Polignac number, because 13805088376293 - 236 = 13736368899557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13805088376293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13805088376213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49228071 + ... + 49507707.

It is an arithmetic number, because the mean of its divisors is an integer number (859519825125).

Almost surely, 213805088376293 is an apocalyptic number.

It is an amenable number.

13805088376293 is a deficient number, since it is larger than the sum of its proper divisors (6823387426707).

13805088376293 is a wasteful number, since it uses less digits than its factorization.

13805088376293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468821 (or 468818 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 13805088376293 in words is "thirteen trillion, eight hundred five billion, eighty-eight million, three hundred seventy-six thousand, two hundred ninety-three".

Divisors: 1 3 9 29 87 261 189149 279637 567447 838911 1702341 2516733 5485321 8109473 16455963 24328419 49367889 72985257 52893058913 158679176739 476037530217 1533898708477 4601696125431 13805088376293