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130272713856 = 2733191983929
BaseRepresentation
bin111100101010011011…
…0111101110010000000
3110110020221002112201000
41321110312331302000
54113244303320411
6135502500212000
712261164540325
oct1712466756200
9413227075630
10130272713856
115028060708a
12212b809a000
13c39153a98c
14643b7b8b4c
1535c6c82956
hex1e54dbdc80

130272713856 has 128 divisors (see below), whose sum is σ = 404721720000. Its totient is φ = 41138731008.

The previous prime is 130272713839. The next prime is 130272713867. The reversal of 130272713856 is 658317272031.

130272713856 is a `hidden beast` number, since 130 + 2 + 72 + 71 + 385 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 926301 + ... + 1057628.

Almost surely, 2130272713856 is an apocalyptic number.

130272713856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130272713856 is an abundant number, since it is smaller than the sum of its proper divisors (274449006144).

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

130272713856 is a wasteful number, since it uses less digits than its factorization.

130272713856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983971 (or 1983953 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Adding to 130272713856 its reverse (658317272031), we get a palindrome (788589985887).

The spelling of 130272713856 in words is "one hundred thirty billion, two hundred seventy-two million, seven hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21888 32832 65664 1983929 3967858 5951787 7935716 11903574 15871432 17855361 23807148 31742864 35710722 37694651 47614296 53566083 63485728 71421444 75389302 95228592 107132166 113083953 126971456 142842888 150778604 190457184 214264332 226167906 253942912 285685776 301557208 339251859 380914368 428528664 452335812 571371552 603114416 678503718 761828736 857057328 904671624 1017755577 1142743104 1206228832 1357007436 1714114656 1809343248 2035511154 2285486208 2412457664 2714014872 3428229312 3618686496 4071022308 4824915328 5428029744 6856458624 7237372992 8142044616 10856059488 14474745984 16284089232 21712118976 32568178464 43424237952 65136356928 130272713856