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388936827904 = 210194892
BaseRepresentation
bin1011010100011100111…
…00010000010000000000
31101011220200020222221011
411222032130100100000
522333020311443104
6454401454010304
740046134326652
oct5521634202000
91334820228834
10388936827904
1113aa46777469
12634661a6994
132a8a45c5c71
1414b78b6a6d2
15a1b552b904
hex5a8e710400

388936827904 has 33 divisors (see below), whose sum is σ = 777533730717. Its totient is φ = 194458435584.

The previous prime is 388936827871. The next prime is 388936827931. The reversal of 388936827904 is 409728639883.

The square root of 388936827904 is 623648.

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

It can be written as a sum of positive squares in only one way, i.e., 6716130304 + 382220697600 = 81952^2 + 618240^2 .

It is a super-2 number, since 2×3889368279042 (a number of 24 digits) contains 22 as substring.

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 388936827904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 19946992 + ... + 19966480.

Almost surely, 2388936827904 is an apocalyptic number.

388936827904 is the 623648-th square number.

It is an amenable number.

388936827904 is a deficient number, since it is larger than the sum of its proper divisors (388596902813).

388936827904 is an frugal number, since it uses more digits than its factorization.

388936827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38998 (or 19491 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 67.

The spelling of 388936827904 in words is "three hundred eighty-eight billion, nine hundred thirty-six million, eight hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 19489 38978 77956 155912 311824 623648 1247296 2494592 4989184 9978368 19956736 379821121 759642242 1519284484 3038568968 6077137936 12154275872 24308551744 48617103488 97234206976 194468413952 388936827904