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13520433520 = 2451126412179
BaseRepresentation
bin11001001011110000…
…10111000101110000
31021220021002012001001
430211320113011300
5210142212333040
610113341451344
7656022534346
oct144570270560
937807065031
1013520433520
115808a28900
122753b70b54
13137615c629
1492391d996
15541ea459a
hex325e17170

13520433520 has 120 divisors (see below), whose sum is σ = 34622315280. Its totient is φ = 4906598400.

The previous prime is 13520433517. The next prime is 13520433529. The reversal of 13520433520 is 2533402531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13520433529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6203791 + ... + 6205969.

It is an arithmetic number, because the mean of its divisors is an integer number (288519294).

Almost surely, 213520433520 is an apocalyptic number.

13520433520 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 13520433520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17311157640).

13520433520 is an abundant number, since it is smaller than the sum of its proper divisors (21101881760).

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

13520433520 is a wasteful number, since it uses less digits than its factorization.

13520433520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The spelling of 13520433520 in words is "thirteen billion, five hundred twenty million, four hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 641 880 968 1210 1282 1936 2179 2420 2564 3205 4358 4840 5128 6410 7051 8716 9680 10256 10895 12820 14102 17432 21790 23969 25640 28204 34864 35255 43580 47938 51280 56408 70510 77561 87160 95876 112816 119845 141020 155122 174320 191752 239690 263659 282040 310244 383504 387805 479380 527318 564080 620488 775610 958760 1054636 1240976 1318295 1396739 1551220 1917520 2109272 2636590 2793478 3102440 4218544 5273180 5586956 6204880 6983695 10546360 11173912 13967390 15364129 21092720 22347824 27934780 30728258 55869560 61456516 76820645 111739120 122913032 153641290 169005419 245826064 307282580 338010838 614565160 676021676 845027095 1229130320 1352043352 1690054190 2704086704 3380108380 6760216760 13520433520