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13235059640 = 235111710211733
BaseRepresentation
bin11000101001101111…
…01111101110111000
31021011101002200200002
430110313233232320
5204101133402030
610025145132132
7645656102465
oct142467575670
937141080602
1013235059640
115681934220
12269448a048
13132bcb2c4a
148d7a7666c
15526dd4245
hex314defbb8

13235059640 has 128 divisors (see below), whose sum is σ = 34450557120. Its totient is φ = 4522598400.

The previous prime is 13235059639. The next prime is 13235059681. The reversal of 13235059640 is 4695053231.

It is a junction number, because it is equal to n+sod(n) for n = 13235059594 and 13235059603.

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, 7636214 + ... + 7637946.

Almost surely, 213235059640 is an apocalyptic number.

13235059640 is a gapful number since it is divisible by the number (10) 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 13235059640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17225278560).

13235059640 is an abundant number, since it is smaller than the sum of its proper divisors (21215497480).

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

13235059640 is a wasteful number, since it uses less digits than its factorization.

13235059640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The spelling of 13235059640 in words is "thirteen billion, two hundred thirty-five million, fifty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1021 1496 1733 1870 2042 3466 3740 4084 5105 6932 7480 8168 8665 10210 11231 13864 17330 17357 19063 20420 22462 29461 34660 34714 38126 40840 44924 56155 58922 69320 69428 76252 86785 89848 95315 112310 117844 138856 147305 152504 173570 190630 190927 224620 235688 294610 324071 347140 381260 381854 449240 589220 648142 694280 762520 763708 954635 1178440 1296284 1527416 1620355 1769393 1909270 2592568 3240710 3538786 3818540 6481420 7077572 7637080 8846965 12962840 14155144 17693930 19463323 30079681 35387860 38926646 60159362 70775720 77853292 97316615 120318724 150398405 155706584 194633230 240637448 300796810 330876491 389266460 601593620 661752982 778532920 1203187240 1323505964 1654382455 2647011928 3308764910 6617529820 13235059640