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13529411856 = 24383592
BaseRepresentation
bin11001001100110101…
…00111000100010000
31021220212222100000000
430212122213010100
5210202012134411
610114302130000
7656162050302
oct144632470420
937825870000
1013529411856
115813000414
122756b80900
131377c8415c
14924bb9972
15542b79956
hex3266a7110

13529411856 has 135 divisors (see below), whose sum is σ = 39427681111. Its totient is φ = 4497241824.

The previous prime is 13529411851. The next prime is 13529411867. The reversal of 13529411856 is 65811492531.

It is a happy number.

The square root of 13529411856 is 116316.

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

13529411856 is a `hidden beast` number, since 1 + 3 + 529 + 4 + 118 + 5 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13529411851) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37686205 + ... + 37686563.

Almost surely, 213529411856 is an apocalyptic number.

13529411856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13529411856 is the 116316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13529411856

13529411856 is an abundant number, since it is smaller than the sum of its proper divisors (25898269255).

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

13529411856 is an frugal number, since it uses more digits than its factorization.

13529411856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 364 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 13529411856 in words is "thirteen billion, five hundred twenty-nine million, four hundred eleven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 359 432 486 648 718 729 972 1077 1296 1436 1458 1944 2154 2187 2872 2916 3231 3888 4308 4374 5744 5832 6462 6561 8616 8748 9693 11664 12924 13122 17232 17496 19386 25848 26244 29079 34992 38772 51696 52488 58158 77544 87237 104976 116316 128881 155088 174474 232632 257762 261711 348948 386643 465264 515524 523422 697896 773286 785133 1031048 1046844 1159929 1395792 1546572 1570266 2062096 2093688 2319858 2355399 3093144 3140532 3479787 4187376 4639716 4710798 6186288 6281064 6959574 9279432 9421596 10439361 12562128 13919148 18558864 18843192 20878722 27838296 31318083 37686384 41757444 55676592 62636166 83514888 93954249 125272332 167029776 187908498 250544664 281862747 375816996 501089328 563725494 751633992 845588241 1127450988 1503267984 1691176482 2254901976 3382352964 4509803952 6764705928 13529411856