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130744993248 = 25321875724203
BaseRepresentation
bin111100111000100000…
…0100100010111100000
3110111110211202211020100
41321301000210113200
54120231204240443
6140021410542400
712305661051222
oct1716100442740
9414424684210
10130744993248
11504a315a631
122140a297a00
13c43833843c
1464843d6412
1536034723d3
hex1e710245e0

130744993248 has 72 divisors (see below), whose sum is σ = 371841259608. Its totient is φ = 43577540352.

The previous prime is 130744993219. The next prime is 130744993261. The reversal of 130744993248 is 842399447031.

130744993248 is a `hidden beast` number, since 1 + 307 + 4 + 4 + 9 + 9 + 324 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 130744993194 and 130744993203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5389915 + ... + 5414117.

It is an arithmetic number, because the mean of its divisors is an integer number (5164461939).

Almost surely, 2130744993248 is an apocalyptic number.

130744993248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130744993248 is an abundant number, since it is smaller than the sum of its proper divisors (241096266360).

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

130744993248 is a wasteful number, since it uses less digits than its factorization.

130744993248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42976 (or 42965 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 130744993248 in words is "one hundred thirty billion, seven hundred forty-four million, nine hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 18757 24203 37514 48406 56271 72609 75028 96812 112542 145218 150056 168813 193624 217827 225084 290436 300112 337626 387248 435654 450168 580872 600224 675252 774496 871308 900336 1161744 1350504 1742616 1800672 2323488 2701008 3485232 5402016 6970464 453975671 907951342 1361927013 1815902684 2723854026 3631805368 4085781039 5447708052 7263610736 8171562078 10895416104 14527221472 16343124156 21790832208 32686248312 43581664416 65372496624 130744993248