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13425218880 = 263518177263
BaseRepresentation
bin11001000000011010…
…01001010101000000
31021122121220210002220
430200031021111000
5204443324001010
610100101011040
7653455322553
oct144015112500
937577823086
1013425218880
11576a205717
1227280b3a80
13135c502cc8
1491501669a
15538947970
hex320349540

13425218880 has 112 divisors (see below), whose sum is σ = 42861122304. Its totient is φ = 3560232960.

The previous prime is 13425218879. The next prime is 13425218881. The reversal of 13425218880 is 8881252431.

It is an interprime number because it is at equal distance from previous prime (13425218879) and next prime (13425218881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13425218881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135129 + ... + 212391.

It is an arithmetic number, because the mean of its divisors is an integer number (382688592).

Almost surely, 213425218880 is an apocalyptic number.

13425218880 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 13425218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21430561152).

13425218880 is an abundant number, since it is smaller than the sum of its proper divisors (29435903424).

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

13425218880 is a wasteful number, since it uses less digits than its factorization.

13425218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77464 (or 77454 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 13425218880 in words is "thirteen billion, four hundred twenty-five million, two hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 181 192 240 320 362 480 543 724 905 960 1086 1448 1810 2172 2715 2896 3620 4344 5430 5792 7240 8688 10860 11584 14480 17376 21720 28960 34752 43440 57920 77263 86880 154526 173760 231789 309052 386315 463578 618104 772630 927156 1158945 1236208 1545260 1854312 2317890 2472416 3090520 3708624 4635780 4944832 6181040 7417248 9271560 12362080 13984603 14834496 18543120 24724160 27969206 37086240 41953809 55938412 69923015 74172480 83907618 111876824 139846030 167815236 209769045 223753648 279692060 335630472 419538090 447507296 559384120 671260944 839076180 895014592 1118768240 1342521888 1678152360 2237536480 2685043776 3356304720 4475072960 6712609440 13425218880