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378013469584 = 2428125472
BaseRepresentation
bin1011000000000110101…
…10111100101110010000
31100010201102000220022111
411200003112330232100
522143132422011314
6445353524315104
736211345322152
oct5400326745620
91303642026274
10378013469584
11136350826703
1261317b42a94
132985352422a
141442012aad2
159c7657aec4
hex58035bcb90

378013469584 has 45 divisors (see below), whose sum is σ = 736362962481. Its totient is φ = 187989809280.

The previous prime is 378013469569. The next prime is 378013469623. The reversal of 378013469584 is 485964310873.

The square root of 378013469584 is 614828.

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., 255457463184 + 122556006400 = 505428^2 + 350080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 691066399 + ... + 691066945.

Almost surely, 2378013469584 is an apocalyptic number.

378013469584 is the 614828-th square number.

It is an amenable number.

378013469584 is a deficient number, since it is larger than the sum of its proper divisors (358349492897).

378013469584 is an frugal number, since it uses more digits than its factorization.

378013469584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 378013469584 in words is "three hundred seventy-eight billion, thirteen million, four hundred sixty-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 281 547 562 1094 1124 2188 2248 4376 4496 8752 78961 153707 157922 299209 307414 315844 598418 614828 631688 1196836 1229656 1263376 2393672 2459312 4787344 43191667 84077729 86383334 168155458 172766668 336310916 345533336 672621832 691066672 1345243664 23625841849 47251683698 94503367396 189006734792 378013469584