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926920296289 = 13231223892
BaseRepresentation
bin11010111110100001100…
…00010100011101100001
310021121112200001211100001
431133100300110131201
5110141313043440124
61545453222500001
7123652643343241
oct15372060243541
93247480054301
10926920296289
11328117384949
1212b787894601
136953cab1400
1432c127dbb21
15191a0abab44
hexd7d0c14761

926920296289 has 27 divisors (see below), whose sum is σ = 1037562973209. Its totient is φ = 827671534560.

The previous prime is 926920296283. The next prime is 926920296329. The reversal of 926920296289 is 982692029629.

The square root of 926920296289 is 962767.

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

It can be written as a sum of positive squares in 4 ways, for example, as 365607669025 + 561312627264 = 604655^2 + 749208^2 .

It is not a de Polignac number, because 926920296289 - 213 = 926920288097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 926920296289.

It is not an unprimeable number, because it can be changed into a prime (926920296283) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 387993907 + ... + 387996295.

It is an arithmetic number, because the mean of its divisors is an integer number (38428258267).

Almost surely, 2926920296289 is an apocalyptic number.

926920296289 is the 962767-th square number.

926920296289 is the 481384-th centered octagonal number.

It is an amenable number.

926920296289 is a deficient number, since it is larger than the sum of its proper divisors (110642676920).

926920296289 is an frugal number, since it uses more digits than its factorization.

926920296289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 64.

Multiplying 926920296289 by its sum of digits (64), we get a square (59322898962496 = 77021362).

The spelling of 926920296289 in words is "nine hundred twenty-six billion, nine hundred twenty million, two hundred ninety-six thousand, two hundred eighty-nine".

Divisors: 1 13 31 169 403 961 2389 5239 12493 31057 74059 162409 403741 962767 2295829 5707321 12515971 29845777 74195173 176926951 387995101 964537249 2300050363 5484735481 29900654719 71301561253 926920296289