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1354327545064 = 2313219722432267
BaseRepresentation
bin10011101101010100001…
…101100101010011101000
311210110202102012200122211
4103231110031211103220
5134142130322420224
62514100335254504
7166563333122524
oct23552415452350
94713672180584
101354327545064
1148240465696a
1219a58967a434
139a9355ac100
144979a932d84
1525368690894
hex13b543654e8

1354327545064 has 96 divisors (see below), whose sum is σ = 2766135445920. Its totient is φ = 621349817088.

The previous prime is 1354327545059. The next prime is 1354327545079. The reversal of 1354327545064 is 4605457234531.

It is a junction number, because it is equal to n+sod(n) for n = 1354327544999 and 1354327545017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597408459 + ... + 597410725.

It is an arithmetic number, because the mean of its divisors is an integer number (28813910895).

Almost surely, 21354327545064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354327545064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383067722960).

1354327545064 is an abundant number, since it is smaller than the sum of its proper divisors (1411807900856).

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

1354327545064 is a wasteful number, since it uses less digits than its factorization.

1354327545064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 49.

The spelling of 1354327545064 in words is "one trillion, three hundred fifty-four billion, three hundred twenty-seven million, five hundred forty-five thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 169 197 338 394 676 788 1352 1576 2243 2267 2561 4486 4534 5122 8972 9068 10244 17944 18136 20488 29159 29471 33293 58318 58942 66586 116636 117884 133172 233272 235768 266344 379067 383123 441871 446599 758134 766246 883742 893198 1516268 1532492 1767484 1786396 3032536 3064984 3534968 3572792 5084881 5744323 5805787 10169762 11488646 11611574 20339524 22977292 23223148 40679048 45954584 46446296 66103453 74676199 75475231 132206906 149352398 150950462 264413812 298704796 301900924 528827624 597409592 603801848 859344889 1001721557 1718689778 2003443114 3437379556 4006886228 6874759112 8013772456 13022380241 26044760482 52089520964 104179041928 169290943133 338581886266 677163772532 1354327545064