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1919140864 = 210374
BaseRepresentation
bin111001001100011…
…1100010000000000
311221202012110100021
41302120330100000
512412300001424
6514233503224
765362266604
oct16230742000
94852173307
101919140864
118a5339a33
12456871b14
132477a5c14
14142c4b504
15b373e4e4
hex7263c400

1919140864 has 55 divisors (see below), whose sum is σ = 3942974387. Its totient is φ = 933636096.

The previous prime is 1919140843. The next prime is 1919140889. The reversal of 1919140864 is 4680419191.

The square root of 1919140864 is 43808.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1196606464 + 722534400 = 34592^2 + 26880^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=148.

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 1919140864.

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 4 ways as a sum of consecutive naturals, for example, 51868654 + ... + 51868690.

Almost surely, 21919140864 is an apocalyptic number.

1919140864 is the 43808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1919140864

1919140864 is an abundant number, since it is smaller than the sum of its proper divisors (2023833523).

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

1919140864 is an frugal number, since it uses more digits than its factorization.

1919140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The cubic root of 1919140864 is about 1242.7075903273.

The spelling of 1919140864 in words is "one billion, nine hundred nineteen million, one hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 1369 2368 2738 4736 5476 9472 10952 18944 21904 37888 43808 50653 87616 101306 175232 202612 350464 405224 700928 810448 1401856 1620896 1874161 3241792 3748322 6483584 7496644 12967168 14993288 25934336 29986576 51868672 59973152 119946304 239892608 479785216 959570432 1919140864