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19982084164 = 22722324392
BaseRepresentation
bin10010100111000001…
…100110100001000100
31220120120211001100021
4102213001212201010
5311410403143124
613102445224524
71305113625100
oct224701464104
956516731307
1019982084164
118524402649
123a57b62144
131b65a74053
14d77b80900
157be3cc7e4
hex4a7066844

19982084164 has 81 divisors (see below), whose sum is σ = 42620395167. Its totient is φ = 8172754128.

The previous prime is 19982084159. The next prime is 19982084183. The reversal of 19982084164 is 46148028991.

The square root of 19982084164 is 141358.

It is a perfect power (a square), and thus also a powerful 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 26 ways as a sum of consecutive naturals, for example, 45517057 + ... + 45517495.

Almost surely, 219982084164 is an apocalyptic number.

19982084164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19982084164 is the 141358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19982084164

19982084164 is an abundant number, since it is smaller than the sum of its proper divisors (22638311003).

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

19982084164 is an equidigital number, since it uses as much as digits as its factorization.

19982084164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 19982084164 in words is "nineteen billion, nine hundred eighty-two million, eighty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 439 529 644 878 1058 1127 1756 2116 2254 3073 3703 4508 6146 7406 10097 12292 14812 20194 21511 25921 40388 43022 51842 70679 86044 103684 141358 192721 232231 282716 385442 464462 494753 770884 928924 989506 1349047 1625617 1979012 2698094 3251234 4432583 5396188 6502468 8865166 9443329 11379319 17730332 18886658 22758638 31028081 37773316 45517276 62056162 101949409 124112324 203898818 217196567 407797636 434393134 713645863 868786268 1427291726 2854583452 4995521041 9991042082 19982084164