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187297129060 = 225174117337753
BaseRepresentation
bin1010111001101111000…
…1110110001001100100
3122220110001120222110221
42232123301312021210
511032041031112220
6222013151254124
716350253220566
oct2563361661144
9586401528427
10187297129060
117248338a258
123037151a344
131487b6815b2
1490cadbd336
154d131659aa
hex2b9bc76264

187297129060 has 96 divisors (see below), whose sum is σ = 426919483872. Its totient is φ = 68743495680.

The previous prime is 187297128973. The next prime is 187297129067. The reversal of 187297129060 is 60921792781.

It can be written as a sum of positive squares in 16 ways, for example, as 13067690596 + 174229438464 = 114314^2 + 417408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 187297128989 and 187297129007.

It is not an unprimeable number, because it can be changed into a prime (187297129067) 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, 24154144 + ... + 24161896.

It is an arithmetic number, because the mean of its divisors is an integer number (4447077957).

Almost surely, 2187297129060 is an apocalyptic number.

187297129060 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 187297129060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213459741936).

187297129060 is an abundant number, since it is smaller than the sum of its proper divisors (239622354812).

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

187297129060 is a wasteful number, since it uses less digits than its factorization.

187297129060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9553 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 52.

The spelling of 187297129060 in words is "one hundred eighty-seven billion, two hundred ninety-seven million, one hundred twenty-nine thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 1733 2788 3466 3485 6932 6970 7753 8665 13940 15506 17330 29461 31012 34660 38765 58922 71053 77530 117844 131801 142106 147305 155060 263602 284212 294610 317873 355265 527204 589220 635746 659005 710530 1207901 1271492 1318010 1421060 1589365 2415802 2636020 3178730 4831604 5403841 6039505 6357460 10807682 12079010 13435949 21615364 24158020 26871898 27019205 53743796 54038410 67179745 108076820 134359490 228411133 268718980 456822266 550873909 913644532 1101747818 1142055665 2203495636 2284111330 2754369545 4568222660 5508739090 9364856453 11017478180 18729712906 37459425812 46824282265 93648564530 187297129060