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130585308544 = 2719233230449
BaseRepresentation
bin111100110011101111…
…1011010110110000000
3110111001201022000000001
41321213133122312000
54114414314333134
6135553504205344
712302011544155
oct1714737326600
9414051260001
10130585308544
11504210030a9
1221384909854
13c411228352
14646b10a22c
1535e442d414
hex1e677dad80

130585308544 has 64 divisors (see below), whose sum is σ = 275019030000. Its totient is φ = 61590454272.

The previous prime is 130585308541. The next prime is 130585308577. The reversal of 130585308544 is 445803585031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 130585308494 and 130585308503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130585308541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451432 + ... + 681880.

Almost surely, 2130585308544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130585308544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137509515000).

130585308544 is an abundant number, since it is smaller than the sum of its proper divisors (144433721456).

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

130585308544 is a wasteful number, since it uses less digits than its factorization.

130585308544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230715 (or 230703 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 130585308544 in words is "one hundred thirty billion, five hundred eighty-five million, three hundred eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 233 304 466 608 932 1216 1864 2432 3728 4427 7456 8854 14912 17708 29824 35416 70832 141664 230449 283328 460898 566656 921796 1843592 3687184 4378531 7374368 8757062 14748736 17514124 29497472 35028248 53694617 70056496 107389234 140112992 214778468 280225984 429556936 560451968 859113872 1020197723 1718227744 2040395446 3436455488 4080790892 6872910976 8161581784 16323163568 32646327136 65292654272 130585308544