Search a number
-
+
171151060704 = 25313295346441
BaseRepresentation
bin1001111101100101100…
…1011110111011100000
3121100202210220201120020
42133121121132323200
510301004132420304
6210343053113440
715236166004161
oct2373131367340
9540683821506
10171151060704
1166648348108
1229206188880
13131a7574bb0
1483d88a7768
1546ba91a5d9
hex27d965eee0

171151060704 has 96 divisors (see below), whose sum is σ = 484005148704. Its totient is φ = 52642897920.

The previous prime is 171151060693. The next prime is 171151060711. The reversal of 171151060704 is 407060151171.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3662124 + ... + 3708564.

It is an arithmetic number, because the mean of its divisors is an integer number (5041720299).

Almost surely, 2171151060704 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 171151060704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242002574352).

171151060704 is an abundant number, since it is smaller than the sum of its proper divisors (312854088000).

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

171151060704 is a wasteful number, since it uses less digits than its factorization.

171151060704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49420 (or 49412 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 33.

The spelling of 171151060704 in words is "one hundred seventy-one billion, one hundred fifty-one million, sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2953 5906 8859 11812 17718 23624 35436 38389 46441 47248 70872 76778 92882 94496 115167 139323 141744 153556 185764 230334 278646 283488 307112 371528 460668 557292 603733 614224 743056 921336 1114584 1207466 1228448 1486112 1811199 1842672 2229168 2414932 3622398 3685344 4458336 4829864 7244796 9659728 14489592 19319456 28979184 57958368 137140273 274280546 411420819 548561092 822841638 1097122184 1645683276 1782823549 2194244368 3291366552 3565647098 4388488736 5348470647 6582733104 7131294196 10696941294 13165466208 14262588392 21393882588 28525176784 42787765176 57050353568 85575530352 171151060704