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5395432656856 = 2311230733154851
BaseRepresentation
bin100111010000011100011…
…0110001100111111011000
3201002210112222102102110211
41032200320312030333120
51201344321230004411
615250343314420504
71064543564613004
oct116407066147730
921083488372424
105395432656856
1117a0210092400
12731807591734
13301a303aa6a8
141491d710d704
1595533178221
hex4e838d8cfd8

5395432656856 has 96 divisors (see below), whose sum is σ = 11189847493440. Its totient is φ = 2437051320000.

The previous prime is 5395432656797. The next prime is 5395432656863. The reversal of 5395432656856 is 6586562345935.

It is a happy number.

It is a super-2 number, since 2×53954326568562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5395432656791 and 5395432656800.

It is a congruent number.

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, 98337831 + ... + 98392681.

It is an arithmetic number, because the mean of its divisors is an integer number (116560911390).

Almost surely, 25395432656856 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 5395432656856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594923746720).

5395432656856 is an abundant number, since it is smaller than the sum of its proper divisors (5794414836584).

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

5395432656856 is a wasteful number, since it uses less digits than its factorization.

5395432656856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55517 (or 55502 counting only the distinct ones).

The product of its digits is 699840000, while the sum is 67.

The spelling of 5395432656856 in words is "five trillion, three hundred ninety-five billion, four hundred thirty-two million, six hundred fifty-six thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 307 331 484 614 662 968 1228 1324 2456 2648 3377 3641 6754 7282 13508 14564 27016 29128 37147 40051 54851 74294 80102 101617 109702 148588 160204 203234 219404 297176 320408 406468 438808 603361 812936 1117787 1206722 2235574 2413444 4471148 4826888 6636971 8942296 12295657 13273942 16839257 18155681 24591314 26547884 33678514 36311362 49182628 53095768 67357028 72622724 98365256 134714056 145245448 185231827 199712491 370463654 399424982 740927308 798849964 1481854616 1597699928 2037550097 2196837401 4075100194 4393674802 5573794067 8150200388 8787349604 11147588134 16300400776 17574699208 22295176268 44590352536 61311734737 122623469474 245246938948 490493877896 674429082107 1348858164214 2697716328428 5395432656856