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13608979664 = 2472331193883
BaseRepresentation
bin11001010110010100…
…01000110011010000
31022010102200210111212
430223022020303100
5210332344322124
610130223355252
7661146263360
oct145312106320
938112623455
1013608979664
115853a06935
122779752b28
13138b5c28b7
149315ac9a0
15549b4540e
hex32b288cd0

13608979664 has 160 divisors (see below), whose sum is σ = 32663814144. Its totient is φ = 5364817920.

The previous prime is 13608979619. The next prime is 13608979717. The reversal of 13608979664 is 46697980631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15411767 + ... + 15412649.

Almost surely, 213608979664 is an apocalyptic number.

13608979664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13608979664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331907072).

13608979664 is an abundant number, since it is smaller than the sum of its proper divisors (19054834480).

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

13608979664 is a wasteful number, since it uses less digits than its factorization.

13608979664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 59.

The spelling of 13608979664 in words is "thirteen billion, six hundred eight million, nine hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 112 124 161 184 193 217 248 322 368 386 434 496 644 713 772 868 883 1288 1351 1426 1544 1736 1766 2576 2702 2852 3088 3472 3532 4439 4991 5404 5704 5983 6181 7064 8878 9982 10808 11408 11966 12362 14128 17756 19964 20309 21616 23932 24724 27373 31073 35512 39928 40618 41881 47864 49448 54746 62146 71024 79856 81236 83762 95728 98896 109492 124292 137609 142163 162472 167524 170419 191611 218984 248584 275218 284326 324944 335048 340838 383222 437968 497168 550436 568652 629579 670096 681676 766444 963263 1100872 1137304 1192933 1259158 1363352 1532888 1926526 2201744 2274608 2385866 2518316 2726704 3065776 3853052 3919637 4407053 4771732 5036632 5282989 7706104 7839274 8814106 9543464 10073264 10565978 15412208 15678548 17628212 19086928 21131956 27437459 31357096 35256424 36980923 42263912 54874918 62714192 70512848 73961846 84527824 109749836 121508747 147923692 219499672 243017494 295847384 438999344 486034988 591694768 850561229 972069976 1701122458 1944139952 3402244916 6804489832 13608979664