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85710174168 = 23331787146381
BaseRepresentation
bin100111111010010111…
…0010111011111011000
322012020021210222101010
41033310232113133120
52401013301033133
6103212534253520
76122656313463
oct1176456273730
9265207728333
1085710174168
1133393182493
12147401b72a0
13810c1559b8
1442112a22da
152369957263
hex13f4b977d8

85710174168 has 64 divisors (see below), whose sum is σ = 221470110720. Its totient is φ = 27613123200.

The previous prime is 85710174149. The next prime is 85710174197. The reversal of 85710174168 is 86147101758.

It is a Cunningham number, because it is equal to 2927632-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512338 + ... + 658718.

It is an arithmetic number, because the mean of its divisors is an integer number (3460470480).

Almost surely, 285710174168 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 85710174168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110735055360).

85710174168 is an abundant number, since it is smaller than the sum of its proper divisors (135759936552).

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

85710174168 is a wasteful number, since it uses less digits than its factorization.

85710174168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147208 (or 147204 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 48.

The spelling of 85710174168 in words is "eighty-five billion, seven hundred ten million, one hundred seventy-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 787 1574 2361 3148 4722 6296 9444 18888 24397 48794 73191 97588 146381 146382 195176 292762 292764 439143 585524 585528 878286 1171048 1756572 3513144 4537811 9075622 13613433 18151244 27226866 36302488 54453732 108907464 115201847 230403694 345605541 460807388 691211082 921614776 1382422164 2764844328 3571257257 7142514514 10713771771 14285029028 21427543542 28570058056 42855087084 85710174168