Search a number
-
+
171122666260 = 225713281334603
BaseRepresentation
bin1001111101011110110…
…1001010101100010100
3121100200211111010201011
42133113231022230110
510300424400310020
6210340200342004
715235402443430
oct2372755125424
9540624433634
10171122666260
1166633313a27
12291b8774904
13131a1712950
1483d4bd59c0
1546b81ac35a
hex27d7b4ab14

171122666260 has 96 divisors (see below), whose sum is σ = 443861574912. Its totient is φ = 53964610560.

The previous prime is 171122666257. The next prime is 171122666269. The reversal of 171122666260 is 62666221171.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171122666269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344119 + ... + 678721.

It is an arithmetic number, because the mean of its divisors is an integer number (4623558072).

Almost surely, 2171122666260 is an apocalyptic number.

171122666260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171122666260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221930787456).

171122666260 is an abundant number, since it is smaller than the sum of its proper divisors (272738908652).

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

171122666260 is a wasteful number, since it uses less digits than its factorization.

171122666260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334913 (or 334911 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 171122666260 in words is "one hundred seventy-one billion, one hundred twenty-two million, six hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 281 364 455 562 910 1124 1405 1820 1967 2810 3653 3934 5620 7306 7868 9835 14612 18265 19670 25571 36530 39340 51142 73060 102284 127855 255710 334603 511420 669206 1338412 1673015 2342221 3346030 4349839 4684442 6692060 8699678 9368884 11711105 17399356 21749195 23422210 30448873 43498390 46844420 60897746 86996780 94023443 121795492 152244365 188046886 304488730 376093772 470117215 608977460 658164101 940234430 1222304759 1316328202 1880468860 2444609518 2632656404 3290820505 4889219036 6111523795 6581641010 8556133313 12223047590 13163282020 17112266626 24446095180 34224533252 42780666565 85561333130 171122666260