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111820684816 = 2441220392
BaseRepresentation
bin110100000100100001…
…0000011111000010000
3101200121222100100102001
41220021002003320100
53313002043403231
6123211505203344
711036010065311
oct1501102037020
9350558310361
10111820684816
1143471952605
1219808630554
13a71077ccb9
1455aad22608
152d96d89b61
hex1a09083e10

111820684816 has 45 divisors (see below), whose sum is σ = 222174631693. Its totient is φ = 54519923840.

The previous prime is 111820684783. The next prime is 111820684847. The reversal of 111820684816 is 618486028111.

The square root of 111820684816 is 334396.

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., 5388147216 + 106432537600 = 73404^2 + 326240^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54839925 + ... + 54841963.

Almost surely, 2111820684816 is an apocalyptic number.

111820684816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

111820684816 is the 334396-th square number.

It is an amenable number.

111820684816 is a deficient number, since it is larger than the sum of its proper divisors (110353946877).

111820684816 is an frugal number, since it uses more digits than its factorization.

111820684816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The spelling of 111820684816 in words is "one hundred eleven billion, eight hundred twenty million, six hundred eighty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 2039 3362 4078 6724 8156 13448 16312 26896 32624 83599 167198 334396 668792 1337584 3427559 4157521 6855118 8315042 13710236 16630084 27420472 33260168 54840944 66520336 170458361 340916722 681833444 1363666888 2727333776 6988792801 13977585602 27955171204 55910342408 111820684816