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290011329729 = 32112163192
BaseRepresentation
bin1000011100001100000…
…01011011010011000001
31000201120101111000002100
410032012001123103001
514222420400022404
6341121313141013
726644515425562
oct4160601332301
91021511430070
10290011329729
11101aa1920500
124825825a769
132146a5aa324
14100726cc169
1578257dcd39
hex438605b4c1

290011329729 has 27 divisors (see below), whose sum is σ = 460477794049. Its totient is φ = 175753671720.

The previous prime is 290011329721. The next prime is 290011329757. The reversal of 290011329729 is 927923110092.

The square root of 290011329729 is 538527.

It is a perfect power (a square), and thus also a powerful number.

290011329729 is a `hidden beast` number, since 290 + 0 + 11 + 329 + 7 + 29 = 666.

It is not a de Polignac number, because 290011329729 - 23 = 290011329721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290011329721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17763232 + ... + 17779550.

Almost surely, 2290011329729 is an apocalyptic number.

290011329729 is the 538527-th square number.

290011329729 is the 269264-th centered octagonal number.

It is an amenable number.

290011329729 is a deficient number, since it is larger than the sum of its proper divisors (170466464320).

290011329729 is an frugal number, since it uses more digits than its factorization.

290011329729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32666 (or 16333 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 290011329729 in words is "two hundred ninety billion, eleven million, three hundred twenty-nine thousand, seven hundred twenty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 16319 48957 146871 179509 538527 1615581 1974599 5923797 17771391 266309761 798929283 2396787849 2929407371 8788222113 26364666339 32223481081 96670443243 290011329729