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13753024169049 = 32112109210312
BaseRepresentation
bin1100100000100010000000…
…0111101100010001011001
31210200202221220022210200100
43020020200013230101121
53300312143141402144
645130015125530013
72616423521415144
oct310104007542131
953622856283610
1013753024169049
11442269666a400
121661517b73909
13789b9b58c4c9
1435791555505b
1518cb3384e269
hexc82201ec459

13753024169049 has 81 divisors (see below), whose sum is σ = 22059169968927. Its totient is φ = 8250686373600.

The previous prime is 13753024168993. The next prime is 13753024169063. The reversal of 13753024169049 is 94096142035731.

The square root of 13753024169049 is 3708507.

It is a perfect power (a square), and thus also a powerful number.

13753024169049 is a `hidden beast` number, since 1 + 3 + 7 + 530 + 2 + 4 + 1 + 69 + 0 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9585791864649 + 4167232304400 = 3096093^2 + 2041380^2 .

It is not a de Polignac number, because 13753024169049 - 27 = 13753024168921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13753024168986 and 13753024169004.

It is not an unprimeable number, because it can be changed into a prime (13753024169249) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13339499164 + ... + 13339500194.

Almost surely, 213753024169049 is an apocalyptic number.

13753024169049 is the 3708507-th square number.

13753024169049 is the 1854254-th centered octagonal number.

It is an amenable number.

13753024169049 is a deficient number, since it is larger than the sum of its proper divisors (8306145799878).

13753024169049 is an equidigital number, since it uses as much as digits as its factorization.

13753024169049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13753024169049 in words is "thirteen trillion, seven hundred fifty-three billion, twenty-four million, one hundred sixty-nine thousand, forty-nine".

Divisors: 1 3 9 11 33 99 109 121 327 363 981 1031 1089 1199 3093 3597 9279 10791 11341 11881 13189 34023 35643 39567 102069 106929 112379 118701 124751 130691 337137 374253 392073 1011411 1062961 1122759 1176219 1236169 1437601 3188883 3708507 4312803 9566649 11125521 11692571 12249311 12938409 13597859 35077713 36747933 40793577 105233139 110243799 115862749 122380731 128618281 134742421 347588247 385854843 404227263 1042764741 1157564529 1212681789 1274490239 1482166631 3823470717 4446499893 11470412151 12629039641 13339499679 14019392629 37887118923 42058177887 113661356769 126174533661 138919436051 416758308153 1250274924459 1528113796561 4584341389683 13753024169049