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13164454001328 = 2437119332841511
BaseRepresentation
bin1011111110010001011010…
…0110101011101010110000
31201121111202102201101110120
42333210112212223222300
53211141300211020303
643555400000330240
72526046304504250
oct277442646535260
951544672641416
1013164454001328
1142160170a5a93
121587439013980
13746530914786
1433723d2ad960
1517c687178553
hexbf9169abab0

13164454001328 has 80 divisors (see below), whose sum is σ = 38899063205376. Its totient is φ = 3758119672320.

The previous prime is 13164454001323. The next prime is 13164454001359. The reversal of 13164454001328 is 82310045446131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13164454001328.

It is not an unprimeable number, because it can be changed into a prime (13164454001323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16019908 + ... + 16821603.

Almost surely, 213164454001328 is an apocalyptic number.

It is an amenable number.

13164454001328 is an abundant number, since it is smaller than the sum of its proper divisors (25734609204048).

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

13164454001328 is a wasteful number, since it uses less digits than its factorization.

13164454001328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32842722 (or 32842716 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

Adding to 13164454001328 its reverse (82310045446131), we get a palindrome (95474499447459).

The spelling of 13164454001328 in words is "thirteen trillion, one hundred sixty-four billion, four hundred fifty-four million, one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1193 2386 3579 4772 7158 8351 9544 14316 16702 19088 25053 28632 33404 50106 57264 66808 100212 133616 200424 400848 32841511 65683022 98524533 131366044 197049066 229890577 262732088 394098132 459781154 525464176 689671731 788196264 919562308 1379343462 1576392528 1839124616 2758686924 3678249232 5517373848 11034747696 39179922623 78359845246 117539767869 156719690492 235079535738 274259458361 313439380984 470159071476 548518916722 626878761968 822778375083 940318142952 1097037833444 1645556750166 1880636285904 2194075666888 3291113500332 4388151333776 6582227000664 13164454001328