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2378216984 = 23111311318397
BaseRepresentation
bin1000110111000000…
…1011011000011000
320010202000221101112
42031300023120120
514332310420414
61031553235452
7112635340133
oct21560133030
96122027345
102378216984
111010494690
12564562b88
132bb92cab0
14187bcd21a
15ddbc1d3e
hex8dc0b618

2378216984 has 64 divisors (see below), whose sum is σ = 5285377440. Its totient is φ = 988968960.

The previous prime is 2378216963. The next prime is 2378217001. The reversal of 2378216984 is 4896128732.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 120074 + ... + 138470.

Almost surely, 22378216984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2378216984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642688720).

2378216984 is an abundant number, since it is smaller than the sum of its proper divisors (2907160456).

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

2378216984 is a wasteful number, since it uses less digits than its factorization.

2378216984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18540 (or 18536 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 2378216984 is about 48766.9661143689. The cubic root of 2378216984 is about 1334.8029529574.

The spelling of 2378216984 in words is "two billion, three hundred seventy-eight million, two hundred sixteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 113 143 226 286 452 572 904 1144 1243 1469 2486 2938 4972 5876 9944 11752 16159 18397 32318 36794 64636 73588 129272 147176 202367 239161 404734 478322 809468 956644 1618936 1913288 2078861 2630771 4157722 5261542 8315444 10523084 16630888 21046168 22867471 27025193 45734942 54050386 91469884 108100772 182939768 216201544 297277123 594554246 1189108492 2378216984