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13628904576 = 27375070277
BaseRepresentation
bin11001011000101100…
…01001010010000000
31022011211012002100120
430230112021102000
5210402444421301
610132214420240
7661510530450
oct145426112200
938154162316
1013628904576
115864185801
122784361680
13139277aaa1
149340b7d60
1554b77de36
hex32c589480

13628904576 has 64 divisors (see below), whose sum is σ = 41373468480. Its totient is φ = 3893971968.

The previous prime is 13628904563. The next prime is 13628904581. The reversal of 13628904576 is 67540982631.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2532451 + ... + 2537826.

It is an arithmetic number, because the mean of its divisors is an integer number (646460445).

It is a 1-persistent number, because it is pandigital, but 2⋅13628904576 = 27257809152 is not.

Almost surely, 213628904576 is an apocalyptic number.

13628904576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13628904576 is an abundant number, since it is smaller than the sum of its proper divisors (27744563904).

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

13628904576 is an equidigital number, since it uses as much as digits as its factorization.

13628904576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070301 (or 5070289 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 13628904576 in words is "thirteen billion, six hundred twenty-eight million, nine hundred four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5070277 10140554 15210831 20281108 30421662 35491939 40562216 60843324 70983878 81124432 106475817 121686648 141967756 162248864 212951634 243373296 283935512 324497728 425903268 486746592 567871024 648995456 851806536 973493184 1135742048 1703613072 1946986368 2271484096 3407226144 4542968192 6814452288 13628904576