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13743168723684 = 2232372166992
BaseRepresentation
bin1100011111111101010010…
…1100001001101011100100
31210122211112001120022020100
43013333110230021223210
53300132002143124214
645121305145304100
72615624350463241
oct307772454115344
953584461508210
1013743168723684
114419499508434
12165b627495030
13788c8a81552a
1435725c6a05c8
1518c7584e7309
hexc7fd4b09ae4

13743168723684 has 81 divisors (see below), whose sum is σ = 35706100840137. Its totient is φ = 4456976993568.

The previous prime is 13743168723653. The next prime is 13743168723709. The reversal of 13743168723684 is 48632786134731.

The square root of 13743168723684 is 3707178.

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

13743168723684 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 316 + 8 + 7 + 236 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12297576104100 + 1445592619584 = 3506790^2 + 1202328^2 .

It is a super-2 number, since 2×137431687236842 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 822985167 + ... + 823001865.

Almost surely, 213743168723684 is an apocalyptic number.

13743168723684 is the 3707178-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13743168723684

13743168723684 is an abundant number, since it is smaller than the sum of its proper divisors (21962932116453).

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

13743168723684 is an frugal number, since it uses more digits than its factorization.

13743168723684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33482 (or 16741 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 13743168723684 in words is "thirteen trillion, seven hundred forty-three billion, one hundred sixty-eight million, seven hundred twenty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 5476 8214 12321 16428 16699 24642 33398 49284 50097 66796 100194 150291 200388 300582 601164 617863 1235726 1853589 2471452 3707178 5560767 7414356 11121534 22243068 22860931 45721862 68582793 91443724 137165586 205748379 274331172 278856601 411496758 557713202 822993516 836569803 1115426404 1673139606 2509709409 3346279212 5019418818 10038837636 10317694237 20635388474 30953082711 41270776948 61906165422 92859248133 123812330844 185718496266 371436992532 381754686769 763509373538 1145264060307 1527018747076 2290528120614 3435792180921 4581056241228 6871584361842 13743168723684