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85854916428 = 2231912712832311
BaseRepresentation
bin100111111110101011…
…0100000111101001100
322012121101011122102120
41033331112200331030
52401312324311203
6103235144452540
76126364514541
oct1177526407514
9265541148376
1085854916428
1133457953496
121478077a150
1381331336c8
1442265bcbc8
1523774e8b53
hex13fd5a0f4c

85854916428 has 96 divisors (see below), whose sum is σ = 212789821440. Its totient is φ = 26866002240.

The previous prime is 85854916379. The next prime is 85854916463. The reversal of 85854916428 is 82461945858.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37149393 + ... + 37151703.

It is an arithmetic number, because the mean of its divisors is an integer number (2216560640).

Almost surely, 285854916428 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 85854916428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106394910720).

85854916428 is an abundant number, since it is smaller than the sum of its proper divisors (126934905012).

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

85854916428 is a wasteful number, since it uses less digits than its factorization.

85854916428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3745 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 60.

The spelling of 85854916428 in words is "eighty-five billion, eight hundred fifty-four million, nine hundred sixteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 127 228 254 381 508 762 1283 1524 2311 2413 2566 3849 4622 4826 5132 6933 7239 7698 9244 9652 13866 14478 15396 24377 27732 28956 43909 48754 73131 87818 97508 131727 146262 162941 175636 263454 292524 293497 325882 488823 526908 586994 651764 880491 977646 1173988 1760982 1955292 2965013 3095879 3521964 5576443 5930026 6191758 8895039 9287637 11152886 11860052 12383516 16729329 17790078 18575274 22305772 33458658 35580156 37150548 56335247 66917316 112670494 169005741 225340988 338011482 376556651 676022964 753113302 1129669953 1506226604 2259339906 4518679812 7154576369 14309152738 21463729107 28618305476 42927458214 85854916428