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129540582721 = 11157211433821
BaseRepresentation
bin111100010100100111…
…0000110110101000001
3110101100220110102121001
41320221032012311001
54110244342121341
6135302104132001
712234064533244
oct1705116066501
9411326412531
10129540582721
114aa35311130
1221132a67001
13c2a595b5a4
1463ac47925b
153582864d31
hex1e29386d41

129540582721 has 32 divisors (see below), whose sum is σ = 143395572096. Its totient is φ = 116049024000.

The previous prime is 129540582719. The next prime is 129540582739. The reversal of 129540582721 is 127285045921.

It is a cyclic number.

It is not a de Polignac number, because 129540582721 - 21 = 129540582719 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129540582701) 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 31 ways as a sum of consecutive naturals, for example, 157783491 + ... + 157784311.

It is an arithmetic number, because the mean of its divisors is an integer number (4481111628).

Almost surely, 2129540582721 is an apocalyptic number.

129540582721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

129540582721 is a deficient number, since it is larger than the sum of its proper divisors (13854989375).

129540582721 is a wasteful number, since it uses less digits than its factorization.

129540582721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633.

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 129540582721 in words is "one hundred twenty-nine billion, five hundred forty million, five hundred eighty-two thousand, seven hundred twenty-one".

Divisors: 1 11 157 211 433 821 1727 2321 4763 9031 33127 67981 91363 128897 173231 355493 364397 747791 1004993 1417867 1905541 3910423 14343991 27197267 55812401 75009023 157783901 299169937 613936411 825099253 11776416611 129540582721