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13550256384 = 28377273467
BaseRepresentation
bin11001001111010100…
…01000000100000000
31021222100012100022120
430213222020010000
5210222331201014
610120325004240
7656534164440
oct144752100400
937870170276
1013550256384
1158238481a5
122761b53680
13137c3a1ab2
14927884120
155448e5ba9
hex327a88100

13550256384 has 144 divisors (see below), whose sum is σ = 41283959808. Its totient is φ = 3865061376.

The previous prime is 13550256373. The next prime is 13550256389. The reversal of 13550256384 is 48365205531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13550256389) 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, 3906619 + ... + 3910085.

Almost surely, 213550256384 is an apocalyptic number.

13550256384 is a gapful number since it is divisible by the number (14) 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 13550256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20641979904).

13550256384 is an abundant number, since it is smaller than the sum of its proper divisors (27733703424).

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

13550256384 is an equidigital number, since it uses as much as digits as its factorization.

13550256384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 13550256384 in words is "thirteen billion, five hundred fifty million, two hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 727 768 896 1344 1454 1792 2181 2688 2908 3467 4362 5089 5376 5816 6934 8724 10178 10401 11632 13868 15267 17448 20356 20802 23264 24269 27736 30534 34896 40712 41604 46528 48538 55472 61068 69792 72807 81424 83208 93056 97076 110944 122136 139584 145614 162848 166416 186112 194152 221888 244272 279168 291228 325696 332832 388304 443776 488544 558336 582456 651392 665664 776608 887552 977088 1164912 1302784 1331328 1553216 1954176 2329824 2520509 2662656 3106432 3908352 4659648 5041018 6212864 7561527 9319296 10082036 15123054 17643563 18638592 20164072 30246108 35287126 40328144 52930689 60492216 70574252 80656288 105861378 120984432 141148504 161312576 211722756 241968864 282297008 322625152 423445512 483937728 564594016 645250304 846891024 967875456 1129188032 1693782048 1935750912 2258376064 3387564096 4516752128 6775128192 13550256384