Search a number
-
+
19690771320144 = 243418183941969
BaseRepresentation
bin1000111101000100111010…
…11011100000110101010000
32120201102022201010222010000
410132202131123200311100
510040103144424221034
6105513452050210000
74101416445431121
oct436423533406520
976642281128100
1019690771320144
11630189a088aa1
122260253583900
13acaaa7518722
144c10775b8048
152423073c8599
hex11e89d6e0d50

19690771320144 has 100 divisors (see below), whose sum is σ = 57305671963540. Its totient is φ = 6527327431680.

The previous prime is 19690771320133. The next prime is 19690771320193. The reversal of 19690771320144 is 44102317709691.

19690771320144 is a `hidden beast` number, since 1 + 96 + 90 + 7 + 7 + 1 + 320 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1199051280144 + 18491720040000 = 1095012^2 + 4300200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41736409 + ... + 42205560.

Almost surely, 219690771320144 is an apocalyptic number.

It is an amenable number.

19690771320144 is an abundant number, since it is smaller than the sum of its proper divisors (37614900643396).

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

19690771320144 is a wasteful number, since it uses less digits than its factorization.

19690771320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83942170 (or 83942155 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 19690771320144 in words is "nineteen trillion, six hundred ninety billion, seven hundred seventy-one million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 181 216 324 362 432 543 648 724 1086 1296 1448 1629 2172 2896 3258 4344 4887 6516 8688 9774 13032 14661 19548 26064 29322 39096 58644 78192 117288 234576 83941969 167883938 251825907 335767876 503651814 671535752 755477721 1007303628 1343071504 1510955442 2014607256 2266433163 3021910884 4029214512 4532866326 6043821768 6799299489 9065732652 12087643536 13598598978 15193496389 18131465304 27197197956 30386992778 36262930608 45580489167 54394395912 60773985556 91160978334 108788791824 121547971112 136741467501 182321956668 243095942224 273482935002 364643913336 410224402503 546965870004 729287826672 820448805006 1093931740008 1230673207509 1640897610012 2187863480016 2461346415018 3281795220024 4922692830036 6563590440048 9845385660072 19690771320144