Search a number
-
+
19950709184 = 267317120233
BaseRepresentation
bin10010100101001001…
…111010100111000000
31220111101210000221222
4102211021322213000
5311324340143214
613055404534212
71304253141620
oct224511724700
956441700858
1019950709184
11850872310a
123a49551368
131b5c40a283
14d73934880
157bb78138e
hex4a527a9c0

19950709184 has 112 divisors (see below), whose sum is σ = 47365042176. Its totient is φ = 8157542400.

The previous prime is 19950709169. The next prime is 19950709187. The reversal of 19950709184 is 48190705991.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19950709187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975932 + ... + 996164.

Almost surely, 219950709184 is an apocalyptic number.

19950709184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19950709184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23682521088).

19950709184 is an abundant number, since it is smaller than the sum of its proper divisors (27414332992).

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

19950709184 is a wasteful number, since it uses less digits than its factorization.

19950709184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20354 (or 20344 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 53.

The spelling of 19950709184 in words is "nineteen billion, nine hundred fifty million, seven hundred nine thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 71 112 124 142 217 224 248 284 434 448 496 497 568 868 992 994 1136 1736 1984 1988 2201 2272 3472 3976 4402 4544 6944 7952 8804 13888 15407 15904 17608 20233 30814 31808 35216 40466 61628 70432 80932 123256 140864 141631 161864 246512 283262 323728 493024 566524 627223 647456 986048 1133048 1254446 1294912 1436543 2266096 2508892 2873086 4390561 4532192 5017784 5746172 8781122 9064384 10035568 10055801 11492344 17562244 20071136 20111602 22984688 35124488 40142272 40223204 44532833 45969376 70248976 80446408 89065666 91938752 140497952 160892816 178131332 280995904 311729831 321785632 356262664 623459662 643571264 712525328 1246919324 1425050656 2493838648 2850101312 4987677296 9975354592 19950709184