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88924390780729 = 72653220632
BaseRepresentation
bin10100001110000001010010…
…101110010110111100111001
3102122212002101200120112210211
4110032001102232112330321
543123414123014440404
6513043145015111121
724505401205124200
oct2416012256267471
9378762350515724
1088924390780729
1126374693383799
129b821866724a1
133a806c34729ba
1417d5d6bada237
15a431da35db04
hex50e052b96f39

88924390780729 has 27 divisors (see below), whose sum is σ = 103651555783503. Its totient is φ = 76067292123312.

The previous prime is 88924390780711. The next prime is 88924390780747. The reversal of 88924390780729 is 92708709342988.

It is a happy number.

The square root of 88924390780729 is 9429973.

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

It is an interprime number because it is at equal distance from previous prime (88924390780711) and next prime (88924390780747).

It can be written as a sum of positive squares in only one way, i.e., 20692627677225 + 68231763103504 = 4548915^2 + 8260252^2 .

It is not a de Polignac number, because 88924390780729 - 29 = 88924390780217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88924390780229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43104405552 + ... + 43104407614.

Almost surely, 288924390780729 is an apocalyptic number.

88924390780729 is the 9429973-rd square number.

88924390780729 is the 4714987-th centered octagonal number.

It is an amenable number.

88924390780729 is a deficient number, since it is larger than the sum of its proper divisors (14727165002774).

88924390780729 is an frugal number, since it uses more digits than its factorization.

88924390780729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 76.

The spelling of 88924390780729 in words is "eighty-eight trillion, nine hundred twenty-four billion, three hundred ninety million, seven hundred eighty thousand, seven hundred twenty-nine".

Divisors: 1 7 49 653 2063 4571 14441 31997 101087 426409 1347139 2984863 4255969 9429973 20894041 29791783 66009811 208542481 879681767 2779147757 6157772369 19454034299 43104406583 136178240093 1814783485321 12703484397247 88924390780729