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130260312672 = 25372201713729
BaseRepresentation
bin111100101010000011…
…1101010001001100000
3110110020001202111110220
41321110013222021200
54113233120001142
6135501334323040
712260654250300
oct1712407521140
9413201674426
10130260312672
1150274606976
12212b3ab9480
13c38bab81b9
146439cab600
1535c5b332ec
hex1e541ea260

130260312672 has 144 divisors (see below), whose sum is σ = 397985358960. Its totient is φ = 37196070912.

The previous prime is 130260312653. The next prime is 130260312683. The reversal of 130260312672 is 276213062031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9481104 + ... + 9494832.

It is an arithmetic number, because the mean of its divisors is an integer number (2763787215).

Almost surely, 2130260312672 is an apocalyptic number.

130260312672 is a gapful number since it is divisible by the number (12) 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 130260312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198992679480).

130260312672 is an abundant number, since it is smaller than the sum of its proper divisors (267725046288).

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

130260312672 is a wasteful number, since it uses less digits than its factorization.

130260312672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15773 (or 15758 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 130260312672 in words is "one hundred thirty billion, two hundred sixty million, three hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2017 2352 4034 4704 6051 8068 12102 13729 14119 16136 24204 27458 28238 32272 41187 42357 48408 54916 56476 64544 82374 84714 96103 96816 98833 109832 112952 164748 169428 192206 193632 197666 219664 225904 288309 296499 329496 338856 384412 395332 439328 451808 576618 592998 658992 672721 677712 768824 790664 1153236 1185996 1317984 1345442 1355424 1537648 1581328 2018163 2306472 2371992 2690884 3075296 3162656 4036326 4612944 4743984 5381768 8072652 9225888 9487968 10763536 16145304 21527072 27691393 32290608 55382786 64581216 83074179 110765572 166148358 193839751 221531144 332296716 387679502 443062288 581519253 664593432 775359004 886124576 1163038506 1329186864 1356878257 1550718008 2326077012 2658373728 2713756514 3101436016 4070634771 4652154024 5427513028 6202872032 8141269542 9304308048 10855026056 16282539084 18608616096 21710052112 32565078168 43420104224 65130156336 130260312672