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29932193792 = 21138232
BaseRepresentation
bin11011111000000110…
…010000100000000000
32212021000200222202002
4123320012100200000
5442300120200132
621430050443132
72106514310054
oct337006204000
985230628662
1029932193792
111176aa41246
1259742934a8
132a90313c97
14163d437c64
15ba2bd3262
hex6f8190800

29932193792 has 36 divisors (see below), whose sum is σ = 59865431535. Its totient is φ = 14962182144.

The previous prime is 29932193779. The next prime is 29932193873. The reversal of 29932193792 is 29739123992.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 14966096896 + 14966096896 = 122336^2 + 122336^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=122336.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7827593 + ... + 7831415.

Almost surely, 229932193792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29932193792

29932193792 is an abundant number, since it is smaller than the sum of its proper divisors (29933237743).

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

29932193792 is an frugal number, since it uses more digits than its factorization.

29932193792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 3825 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 56.

The spelling of 29932193792 in words is "twenty-nine billion, nine hundred thirty-two million, one hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3823 7646 15292 30584 61168 122336 244672 489344 978688 1957376 3914752 7829504 14615329 29230658 58461316 116922632 233845264 467690528 935381056 1870762112 3741524224 7483048448 14966096896 29932193792