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130712540448 = 25371910237511
BaseRepresentation
bin111100110111100010…
…0110001010100100000
3110111101120201001100210
41321233010301110200
54120144402243243
6140014251214120
712305115155520
oct1715704612440
9414346631323
10130712540448
1150486904336
12213bb447340
13c4316b4bb9
14647dd89680
1536006b1933
hex1e6f131520

130712540448 has 96 divisors (see below), whose sum is σ = 412776483840. Its totient is φ = 35380834560.

The previous prime is 130712540447. The next prime is 130712540477. The reversal of 130712540448 is 844045217031.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (130712540447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5105988 + ... + 5131523.

It is an arithmetic number, because the mean of its divisors is an integer number (4299755040).

Almost surely, 2130712540448 is an apocalyptic number.

It is an amenable number.

130712540448 is an abundant number, since it is smaller than the sum of its proper divisors (282063943392).

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

130712540448 is a wasteful number, since it uses less digits than its factorization.

130712540448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10237550 (or 10237542 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

Adding to 130712540448 its reverse (844045217031), we get a palindrome (974757757479).

The spelling of 130712540448 in words is "one hundred thirty billion, seven hundred twelve million, five hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 10237511 20475022 30712533 40950044 61425066 71662577 81900088 122850132 143325154 163800176 194512709 214987731 245700264 286650308 327600352 389025418 429975462 491400528 573300616 583538127 778050836 859950924 982801056 1146601232 1167076254 1361588963 1556101672 1719901848 2293202464 2334152508 2723177926 3112203344 3439803696 4084766889 4668305016 5446355852 6224406688 6879607392 8169533778 9336610032 10892711704 16339067556 18673220064 21785423408 32678135112 43570846816 65356270224 130712540448