Search a number
-
+
130269076848 = 243534139817
BaseRepresentation
bin111100101010010100…
…1000101110101110000
3110110020200020202200000
41321110221011311300
54113242340424343
6135502250230000
712261121611651
oct1712451056560
9413220222600
10130269076848
1150279552599
12212b6a25300
13c3908663c1
14643b10d528
1535c67b4ed3
hex1e54a45d70

130269076848 has 120 divisors (see below), whose sum is σ = 378224469168. Its totient is φ = 43405880832.

The previous prime is 130269076831. The next prime is 130269076853. The reversal of 130269076848 is 848670962031.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 130269076794 and 130269076803.

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, 13264836 + ... + 13274652.

Almost surely, 2130269076848 is an apocalyptic number.

130269076848 is a gapful number since it is divisible by the number (18) 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 130269076848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189112234584).

130269076848 is an abundant number, since it is smaller than the sum of its proper divisors (247955392320).

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

130269076848 is an equidigital number, since it uses as much as digits as its factorization.

130269076848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13253 (or 13235 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 130269076848 in words is "one hundred thirty billion, two hundred sixty-nine million, seventy-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3413 3888 6826 9817 10239 13652 19634 20478 27304 29451 30717 39268 40956 54608 58902 61434 78536 81912 88353 92151 117804 122868 157072 163824 176706 184302 235608 245736 265059 276453 353412 368604 471216 491472 530118 552906 706824 737208 795177 829359 1060236 1105812 1413648 1474416 1590354 1658718 2120472 2211624 2385531 3180708 3317436 4240944 4423248 4771062 6361416 6634872 9542124 12722832 13269744 19084248 33505421 38168496 67010842 100516263 134021684 201032526 268043368 301548789 402065052 536086736 603097578 804130104 904646367 1206195156 1608260208 1809292734 2412390312 2713939101 3618585468 4824780624 5427878202 7237170936 8141817303 10855756404 14474341872 16283634606 21711512808 32567269212 43423025616 65134538424 130269076848