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42528338176 = 28128892
BaseRepresentation
bin100111100110111000…
…101111000100000000
311001202212120102110011
4213212320233010000
51144044223310201
631312013514304
73033614624062
oct474670570400
9131685512404
1042528338176
1117044157a25
1282aa7a2994
134019b2445c
1420b62b7732
15118d95e151
hex9e6e2f100

42528338176 has 27 divisors (see below), whose sum is σ = 84897136821. Its totient is φ = 21262519296.

The previous prime is 42528338129. The next prime is 42528338183. The reversal of 42528338176 is 67183382524.

The square root of 42528338176 is 206224.

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., 27897016576 + 14631321600 = 167024^2 + 120960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3293140 + ... + 3306028.

Almost surely, 242528338176 is an apocalyptic number.

42528338176 is the 206224-th square number.

It is an amenable number.

42528338176 is a deficient number, since it is larger than the sum of its proper divisors (42368798645).

42528338176 is an frugal number, since it uses more digits than its factorization.

42528338176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25794 (or 12891 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

Multiplying 42528338176 by its sum of digits (49), we get a square (2083888570624 = 14435682).

The spelling of 42528338176 in words is "forty-two billion, five hundred twenty-eight million, three hundred thirty-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 12889 25778 51556 103112 206224 412448 824896 1649792 3299584 166126321 332252642 664505284 1329010568 2658021136 5316042272 10632084544 21264169088 42528338176