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423579048588416 = 27717107259892509
BaseRepresentation
bin110000001001111100010111…
…0101110011011010010000000
32001112202202120012001222011002
41200103320232232123102000
5421004404342414312131
64100513310101311132
7155135401460006630
oct14023705656332200
92045682505058132
10423579048588416
11112a68958277316
123b61055a4054a8
1315247443489b06
14768549a25a6c0
1533e83e30256cb
hex1813e2eb9b480

423579048588416 has 128 divisors (see below), whose sum is σ = 1030671320457600. Its totient is φ = 169258634330112.

The previous prime is 423579048588413. The next prime is 423579048588419. The reversal of 423579048588416 is 614885840975324.

It is an interprime number because it is at equal distance from previous prime (423579048588413) and next prime (423579048588419).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (74) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (423579048588413) 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, 128316431 + ... + 131576078.

It is an arithmetic number, because the mean of its divisors is an integer number (8052119691075).

It is a 2-persistent number, because it is pandigital, and so is 2⋅423579048588416 = 847158097176832, but 3⋅423579048588416 = 1270737145765248 is not.

Almost surely, 2423579048588416 is an apocalyptic number.

It is an amenable number.

423579048588416 is an abundant number, since it is smaller than the sum of its proper divisors (607092271869184).

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

423579048588416 is a wasteful number, since it uses less digits than its factorization.

423579048588416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259892654 (or 259892642 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 74.

The spelling of 423579048588416 in words is "four hundred twenty-three trillion, five hundred seventy-nine billion, forty-eight million, five hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 107 112 119 128 136 214 224 238 272 428 448 476 544 749 856 896 952 1088 1498 1712 1819 1904 2176 2996 3424 3638 3808 5992 6848 7276 7616 11984 12733 13696 14552 15232 23968 25466 29104 47936 50932 58208 95872 101864 116416 203728 232832 407456 814912 1629824 259892509 519785018 1039570036 1819247563 2079140072 3638495126 4158280144 4418172653 7276990252 8316560288 8836345306 14553980504 16633120576 17672690612 27808498463 29107961008 30927208571 33266241152 35345381224 55616996926 58215922016 61854417142 70690762448 111233993852 116431844032 123708834284 141381524896 194659489241 222467987704 232863688064 247417668568 282763049792 389318978482 444935975408 472744473871 494835337136 565526099584 778637956964 889871950816 945488947742 989670674272 1557275913928 1779743901632 1890977895484 1979341348544 3114551827856 3309211317097 3559487803264 3781955790968 3958682697088 6229103655712 6618422634194 7563911581936 12458207311424 13236845268388 15127823163872 24916414622848 26473690536776 30255646327744 52947381073552 60511292655488 105894762147104 211789524294208 423579048588416