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85207417856 = 2101121076427
BaseRepresentation
bin100111101011011000…
…0100000010000000000
322010221020210022100222
41033112300200100000
52344001044332411
6103051014402212
76104343046601
oct1172660402000
9263836708328
1085207417856
1133155403200
121461b960368
13805bc47162
1441a45cdda8
15233a7474db
hex13d6c20400

85207417856 has 132 divisors (see below), whose sum is σ = 189003178224. Its totient is φ = 38362705920.

The previous prime is 85207417829. The next prime is 85207417907. The reversal of 85207417856 is 65871470258.

It is a junction number, because it is equal to n+sod(n) for n = 85207417798 and 85207417807.

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, 13254515 + ... + 13260941.

Almost surely, 285207417856 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 85207417856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94501589112).

85207417856 is an abundant number, since it is smaller than the sum of its proper divisors (103795760368).

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

85207417856 is a wasteful number, since it uses less digits than its factorization.

85207417856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 6547 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 53.

The spelling of 85207417856 in words is "eighty-five billion, two hundred seven million, four hundred seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 121 128 176 214 242 256 352 428 484 512 704 856 968 1024 1177 1408 1712 1936 2354 2816 3424 3872 4708 5632 6427 6848 7744 9416 11264 12854 12947 13696 15488 18832 25708 25894 27392 30976 37664 51416 51788 54784 61952 70697 75328 102832 103576 109568 123904 141394 150656 205664 207152 282788 301312 411328 414304 565576 602624 687689 777667 822656 828608 1131152 1205248 1375378 1555334 1645312 1657216 2262304 2750756 3110668 3290624 3314432 4524608 5501512 6221336 6581248 6628864 7564579 9049216 11003024 12442672 13257728 15129158 18098432 22006048 24885344 30258316 36196864 44012096 49770688 60516632 72393728 83210369 88024192 99541376 121033264 166420738 176048384 199082752 242066528 332841476 352096768 398165504 484133056 665682952 704193536 796331008 968266112 1331365904 1936532224 2662731808 3873064448 5325463616 7746128896 10650927232 21301854464 42603708928 85207417856