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15133298143716 = 223267296772
BaseRepresentation
bin1101110000110111111011…
…0111000011000111100100
31222120201200120022200111100
43130031332313003013210
53440420443311044331
652104050255240100
73121226143545234
oct334157667030744
958521616280440
1015133298143716
114904aa5306915
121844b26b19030
1385a0aa4a672c
143a4653dd5cc4
151b39b9d10ae6
hexdc37edc31e4

15133298143716 has 81 divisors (see below), whose sum is σ = 38837099200809. Its totient is φ = 4968629173728.

The previous prime is 15133298143687. The next prime is 15133298143721. The reversal of 15133298143716 is 61734189233151.

The square root of 15133298143716 is 3890154.

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

15133298143716 is a `hidden beast` number, since 1 + 513 + 3 + 2 + 9 + 81 + 4 + 37 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10329731720100 + 4803566423616 = 3213990^2 + 2191704^2 .

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, 1563837070 + ... + 1563846746.

Almost surely, 215133298143716 is an apocalyptic number.

15133298143716 is the 3890154-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15133298143716

15133298143716 is an abundant number, since it is smaller than the sum of its proper divisors (23703801057093).

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

15133298143716 is an frugal number, since it uses more digits than its factorization.

15133298143716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19498 (or 9749 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 15133298143716 in words is "fifteen trillion, one hundred thirty-three billion, two hundred ninety-eight million, one hundred forty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 4489 8978 9677 13467 17956 19354 26934 29031 38708 40401 53868 58062 80802 87093 116124 161604 174186 348372 648359 1296718 1945077 2593436 3890154 5835231 7780308 11670462 23340924 43440053 86880106 93644329 130320159 173760212 187288658 260640318 280932987 374577316 390960477 521280636 561865974 781920954 842798961 1123731948 1563841908 1685597922 3371195844 6274170043 12548340086 18822510129 25096680172 37645020258 56467530387 75290040516 112935060774 225870121548 420369392881 840738785762 1261108178643 1681477571524 2522216357286 3783324535929 5044432714572 7566649071858 15133298143716