Search a number
-
+
19918805956 = 22721725932
BaseRepresentation
bin10010100011010000…
…001101101111000100
31220102011202011221221
4102203100031233010
5311243203242311
613052305050124
71303415025400
oct224320155704
956364664857
1019918805956
1184a1712805
123a3a926944
131b55919c1a
14d6d5cc100
157b8a7d671
hex4a340dbc4

19918805956 has 81 divisors (see below), whose sum is σ = 43147301799. Its totient is φ = 8020927488.

The previous prime is 19918805917. The next prime is 19918805957. The reversal of 19918805956 is 65950881991.

The square root of 19918805956 is 141134.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3184796356 + 16734009600 = 56434^2 + 129360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19918805894 and 19918805903.

It is not an unprimeable number, because it can be changed into a prime (19918805957) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33589596 + ... + 33590188.

Almost surely, 219918805956 is an apocalyptic number.

19918805956 is the 141134-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19918805956

19918805956 is an abundant number, since it is smaller than the sum of its proper divisors (23228495843).

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

19918805956 is an equidigital number, since it uses as much as digits as its factorization.

19918805956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 61.

The spelling of 19918805956 in words is "nineteen billion, nine hundred eighteen million, eight hundred five thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 593 833 1156 1186 1666 2023 2372 3332 4046 4151 8092 8302 10081 14161 16604 20162 28322 29057 40324 56644 58114 70567 116228 141134 171377 282268 342754 351649 493969 685508 703298 987938 1199639 1406596 1975876 2399278 2461543 4798556 4923086 5978033 8397473 9846172 11956066 16794946 17230801 23912132 33589892 34461602 41846231 68923204 83692462 101626561 167384924 203253122 292923617 406506244 585847234 711385927 1171694468 1422771854 2845543708 4979701489 9959402978 19918805956