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130076811750 = 23536116317443
BaseRepresentation
bin111100100100100101…
…1101010000111100110
3110102202021110200112110
41321021023222013212
54112344130434000
6135431221301450
712253265441214
oct1711113520746
9412667420473
10130076811750
115018aa72a16
1221262564886
13c35ca89982
14641d781cb4
1535b4987850
hex1e492ea1e6

130076811750 has 128 divisors (see below), whose sum is σ = 332037748224. Its totient is φ = 33907248000.

The previous prime is 130076811731. The next prime is 130076811863. The reversal of 130076811750 is 57118670031.

It is a junction number, because it is equal to n+sod(n) for n = 130076811699 and 130076811708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7448529 + ... + 7465971.

It is an arithmetic number, because the mean of its divisors is an integer number (2594044908).

Almost surely, 2130076811750 is an apocalyptic number.

130076811750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130076811750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166018874112).

130076811750 is an abundant number, since it is smaller than the sum of its proper divisors (201960936474).

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

130076811750 is a wasteful number, since it uses less digits than its factorization.

130076811750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17687 (or 17677 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 130076811750 in words is "one hundred thirty billion, seventy-six million, eight hundred eleven thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 125 150 163 183 250 305 326 366 375 489 610 750 815 915 978 1525 1630 1830 2445 3050 4075 4575 4890 7625 8150 9150 9943 12225 15250 17443 19886 20375 22875 24450 29829 34886 40750 45750 49715 52329 59658 61125 87215 99430 104658 122250 149145 174430 248575 261645 298290 436075 497150 523290 745725 872150 1064023 1242875 1308225 1491450 2128046 2180375 2485750 2616450 2843209 3192069 3728625 4360750 5320115 5686418 6384138 6541125 7457250 8529627 10640230 13082250 14216045 15960345 17059254 26600575 28432090 31920690 42648135 53201150 71080225 79801725 85296270 133002875 142160450 159603450 173435749 213240675 266005750 346871498 355401125 399008625 426481350 520307247 710802250 798017250 867178745 1040614494 1066203375 1734357490 2132406750 2601536235 4335893725 5203072470 8671787450 13007681175 21679468625 26015362350 43358937250 65038405875 130076811750