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13781897480 = 235131812809
BaseRepresentation
bin11001101010111011…
…10001000100001000
31022120111001221011102
430311131301010020
5211211131204410
610155321520532
7665346124061
oct146535610410
938514057142
1013781897480
11593258161a
122807643148
1313b8387030
1494a541568
15559e002a5
hex335771108

13781897480 has 96 divisors (see below), whose sum is σ = 33621625800. Its totient is φ = 5054330880.

The previous prime is 13781897461. The next prime is 13781897489. The reversal of 13781897480 is 8479818731.

It can be written as a sum of positive squares in 12 ways, for example, as 1513676836 + 12268220644 = 38906^2 + 110762^2 .

It is not an unprimeable number, because it can be changed into a prime (13781897489) 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, 17035316 + ... + 17036124.

Almost surely, 213781897480 is an apocalyptic number.

13781897480 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 13781897480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16810812900).

13781897480 is an abundant number, since it is smaller than the sum of its proper divisors (19839728320).

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

13781897480 is a wasteful number, since it uses less digits than its factorization.

13781897480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 56.

The spelling of 13781897480 in words is "thirteen billion, seven hundred eighty-one million, eight hundred ninety-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 181 260 362 520 724 809 905 1448 1618 1810 2353 3236 3620 4045 4706 6472 7240 8090 9412 10517 11765 16180 18824 21034 23530 32360 32761 42068 47060 52585 65522 84136 94120 105170 131044 146429 163805 210340 262088 292858 327610 420680 425893 585716 655220 732145 851786 1171432 1310440 1464290 1703572 1903577 2129465 2928580 3407144 3807154 4258930 5857160 7614308 8517860 9517885 15228616 17035720 19035770 26503649 38071540 53007298 76143080 106014596 132518245 212029192 265036490 344547437 530072980 689094874 1060145960 1378189748 1722737185 2756379496 3445474370 6890948740 13781897480