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13730632341920 = 2551334918914801
BaseRepresentation
bin1100011111001110100101…
…1101101001100110100000
31210121122011101011010102122
43013303221131221212200
53244430313334420140
645111433155203412
72615001604134254
oct307635135514640
953548141133378
1013730632341920
11441414600024a
121659108ba6568
13787a404cac60
143567cd73a264
1518c272b23ab5
hexc7ce97699a0

13730632341920 has 96 divisors (see below), whose sum is σ = 35033996264400. Its totient is φ = 5055245107200.

The previous prime is 13730632341913. The next prime is 13730632341961. The reversal of 13730632341920 is 2914323603731.

It can be written as a sum of positive squares in 8 ways, for example, as 6431924943376 + 7298707398544 = 2536124^2 + 2701612^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8731481 + ... + 10183320.

Almost surely, 213730632341920 is an apocalyptic number.

13730632341920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13730632341920 is an abundant number, since it is smaller than the sum of its proper divisors (21303363922480).

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

13730632341920 is a wasteful number, since it uses less digits than its factorization.

13730632341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18915178 (or 18915170 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 44.

The spelling of 13730632341920 in words is "thirteen trillion, seven hundred thirty billion, six hundred thirty-two million, three hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 349 416 520 698 1040 1396 1745 2080 2792 3490 4537 5584 6980 9074 11168 13960 18148 22685 27920 36296 45370 55840 72592 90740 145184 181480 362960 725920 18914801 37829602 75659204 94574005 151318408 189148010 245892413 302636816 378296020 491784826 605273632 756592040 983569652 1229462065 1513184080 1967139304 2458924130 3026368160 3934278608 4917848260 6601265549 7868557216 9835696520 13202531098 19671393040 26405062196 33006327745 39342786080 52810124392 66012655490 85816452137 105620248784 132025310980 171632904274 211240497568 264050621960 343265808548 429082260685 528101243920 686531617096 858164521370 1056202487840 1373063234192 1716329042740 2746126468384 3432658085480 6865316170960 13730632341920