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130589431296 = 293312127241
BaseRepresentation
bin111100110011110111…
…1001001011000000000
3110111002000001110100120
41321213233021120000
54114421343300141
6135554132420240
712302061564642
oct1714757113000
9414060043316
10130589431296
1150423369635
1221386177680
13c41203ca4c
14646b8a0892
1535e4994c66
hex1e67bc9600

130589431296 has 80 divisors (see below), whose sum is σ = 348022652208. Its totient is φ = 43514265600.

The previous prime is 130589431279. The next prime is 130589431327. The reversal of 130589431296 is 692134985031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4780236 + ... + 4807476.

Almost surely, 2130589431296 is an apocalyptic number.

130589431296 is a gapful number since it is divisible by the number (16) 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 130589431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174011326104).

130589431296 is an abundant number, since it is smaller than the sum of its proper divisors (217433220912).

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

130589431296 is an equidigital number, since it uses as much as digits as its factorization.

130589431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30383 (or 30367 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 130589431296 in words is "one hundred thirty billion, five hundred eighty-nine million, four hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 3121 6242 9363 12484 18726 24968 27241 37452 49936 54482 74904 81723 99872 108964 149808 163446 199744 217928 299616 326892 399488 435856 599232 653784 798976 871712 1198464 1307568 1597952 1743424 2396928 2615136 3486848 4793856 5230272 6973696 10460544 13947392 20921088 41842176 85019161 170038322 255057483 340076644 510114966 680153288 1020229932 1360306576 2040459864 2720613152 4080919728 5441226304 8161839456 10882452608 16323678912 21764905216 32647357824 43529810432 65294715648 130589431296