Search a number
-
+
19693784160 = 2532531441169
BaseRepresentation
bin10010010101110101…
…110100110001100000
31212211111022220002100
4102111311310301200
5310313102043120
613014110050400
71265013255231
oct222565646140
955744286070
1019693784160
11839669a586
1239974a9a00
131b1b11182b
14d4b775088
157a3e30490
hex495d74c60

19693784160 has 144 divisors (see below), whose sum is σ = 69373100160. Its totient is φ = 5082255360.

The previous prime is 19693784119. The next prime is 19693784161. The reversal of 19693784160 is 6148739691.

19693784160 is a `hidden beast` number, since 196 + 9 + 37 + 8 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×196937841604 (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19693784097 and 19693784106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19693784161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175945 + ... + 265224.

It is an arithmetic number, because the mean of its divisors is an integer number (481757640).

Almost surely, 219693784160 is an apocalyptic number.

19693784160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19693784160 is an abundant number, since it is smaller than the sum of its proper divisors (49679316000).

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

19693784160 is a wasteful number, since it uses less digits than its factorization.

19693784160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441221 (or 441210 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 19693784160 in words is "nineteen billion, six hundred ninety-three million, seven hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 441169 882338 1323507 1764676 2205845 2647014 3529352 3970521 4411690 5294028 6617535 7058704 7941042 8823380 10588056 13235070 13676239 14117408 15882084 17646760 19852605 21176112 26470140 27352478 31764168 35293520 39705210 41028717 42352224 52940280 54704956 63528336 68381195 70587040 79410420 82057434 105880560 109409912 123086151 127056672 136762390 158820840 164114868 205143585 211761120 218819824 246172302 273524780 317641680 328229736 410287170 437639648 492344604 547049560 615430755 635283360 656459472 820574340 984689208 1094099120 1230861510 1312918944 1641148680 1969378416 2188198240 2461723020 3282297360 3938756832 4923446040 6564594720 9846892080 19693784160