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13427036928 = 283671947
BaseRepresentation
bin11001000000101000…
…00101001100000000
31021122202100011000000
430200110011030000
5204444310140203
610100204000000
7653506634154
oct144024051400
937582304000
1013427036928
115770237638
122728830000
13135c9bb686
1491536b064
15538ba64a3
hex320505300

13427036928 has 126 divisors (see below), whose sum is σ = 40184612804. Its totient is φ = 4475616768.

The previous prime is 13427036927. The next prime is 13427036929. The reversal of 13427036928 is 82963072431.

13427036928 is a `hidden beast` number, since 13 + 4 + 270 + 369 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13427036927) and next prime (13427036929).

It is not an unprimeable number, because it can be changed into a prime (13427036927) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 150651 + ... + 222597.

Almost surely, 213427036928 is an apocalyptic number.

13427036928 is a gapful number since it is divisible by the number (18) 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 13427036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092306402).

13427036928 is an abundant number, since it is smaller than the sum of its proper divisors (26757575876).

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

13427036928 is an frugal number, since it uses more digits than its factorization.

13427036928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71981 (or 71952 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13427036928 in words is "thirteen billion, four hundred twenty-seven million, thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7776 10368 11664 15552 20736 23328 31104 46656 62208 71947 93312 143894 186624 215841 287788 431682 575576 647523 863364 1151152 1295046 1726728 1942569 2302304 2590092 3453456 3885138 4604608 5180184 5827707 6906912 7770276 9209216 10360368 11655414 13813824 15540552 17483121 18418432 20720736 23310828 27627648 31081104 34966242 41441472 46621656 52449363 55255296 62162208 69932484 82882944 93243312 104898726 124324416 139864968 165765888 186486624 209797452 248648832 279729936 372973248 419594904 497297664 559459872 745946496 839189808 1118919744 1491892992 1678379616 2237839488 3356759232 4475678976 6713518464 13427036928