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12730453456 = 247673494861
BaseRepresentation
bin10111101101100101…
…10100110111010000
31012212012121001010011
423312302310313100
5202032444002311
65503121444304
7630321032440
oct136662646720
935765531104
1012730453456
115443011116
1225734a0694
13127b5a73c6
1488aa42120
154e795b321
hex2f6cb4dd0

12730453456 has 80 divisors (see below), whose sum is σ = 28697468800. Its totient is φ = 5357975040.

The previous prime is 12730453441. The next prime is 12730453469. The reversal of 12730453456 is 65435403721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2616466 + ... + 2621326.

It is an arithmetic number, because the mean of its divisors is an integer number (358718360).

Almost surely, 212730453456 is an apocalyptic number.

12730453456 is a gapful number since it is divisible by the number (16) 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 12730453456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348734400).

12730453456 is an abundant number, since it is smaller than the sum of its proper divisors (15967015344).

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

12730453456 is a wasteful number, since it uses less digits than its factorization.

12730453456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 12730453456 in words is "twelve billion, seven hundred thirty million, four hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 349 469 536 698 938 1072 1396 1876 2443 2792 3752 4861 4886 5584 7504 9722 9772 19444 19544 23383 34027 38888 39088 46766 68054 77776 93532 136108 163681 187064 272216 325687 327362 374128 544432 651374 654724 1302748 1309448 1696489 2279809 2605496 2618896 3392978 4559618 5210992 6785956 9119236 11875423 13571912 18238472 23750846 27143824 36476944 47501692 95003384 113664763 190006768 227329526 454659052 795653341 909318104 1591306682 1818636208 3182613364 6365226728 12730453456