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429580084384 = 25111220397967
BaseRepresentation
bin1100100000001001111…
…01111110010010100000
31112001211011201100102201
412100010331332102200
524014240000200014
6525202452022544
743015252320043
oct6200475762240
91461734640381
10429580084384
11156202838630
126b309601a54
1331680a0ac59
1416b12940c5a
15b293727e74
hex6404f7e4a0

429580084384 has 24 divisors (see below), whose sum is σ = 922620863808. Its totient is φ = 195263674560.

The previous prime is 429580084363. The next prime is 429580084441. The reversal of 429580084384 is 483480085924.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 610198632 + ... + 610199335.

It is an arithmetic number, because the mean of its divisors is an integer number (38442535992).

Almost surely, 2429580084384 is an apocalyptic number.

429580084384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

429580084384 is an abundant number, since it is smaller than the sum of its proper divisors (493040779424).

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

429580084384 is a wasteful number, since it uses less digits than its factorization.

429580084384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220397988 (or 1220397980 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 55.

The spelling of 429580084384 in words is "four hundred twenty-nine billion, five hundred eighty million, eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1220397967 2440795934 4881591868 9763183736 13424377637 19526367472 26848755274 39052734944 53697510548 107395021096 214790042192 429580084384