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5438031946128 = 2432199718910421
BaseRepresentation
bin100111100100010001111…
…1101100110000110010000
3201020212111210111112112100
41033020203331212012100
51203044042134234003
615322110345200400
71100612333604435
oct117104375460620
921225453445470
105438031946128
11180729029a9a1
12739b15a90100
13305a5bb14532
1414b2b89b5b8c
15966c7e4eba3
hex4f223f66190

5438031946128 has 60 divisors (see below), whose sum is σ = 15226558331868. Its totient is φ = 1811769519360.

The previous prime is 5438031946103. The next prime is 5438031946141. The reversal of 5438031946128 is 8216491308345.

It is a happy number.

5438031946128 is a `hidden beast` number, since 5 + 4 + 3 + 8 + 0 + 3 + 19 + 4 + 612 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 878816252304 + 4559215693824 = 937452^2 + 2135232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9167643 + ... + 9742778.

Almost surely, 25438031946128 is an apocalyptic number.

It is an amenable number.

5438031946128 is an abundant number, since it is smaller than the sum of its proper divisors (9788526385740).

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

5438031946128 is a wasteful number, since it uses less digits than its factorization.

5438031946128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18912432 (or 18912423 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 5438031946128 in words is "five trillion, four hundred thirty-eight billion, thirty-one million, nine hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1997 3994 5991 7988 11982 15976 17973 23964 31952 35946 47928 71892 95856 143784 287568 18910421 37820842 56731263 75641684 113462526 151283368 170193789 226925052 302566736 340387578 453850104 680775156 907700208 1361550312 2723100624 37764110737 75528221474 113292332211 151056442948 226584664422 302112885896 339876996633 453169328844 604225771792 679753993266 906338657688 1359507986532 1812677315376 2719015973064 5438031946128