Search a number
-
+
19390684032 = 2732142911779
BaseRepresentation
bin10010000011110001…
…100101101110000000
31212001100222210212200
4102003301211232000
5304203003342112
612524041353200
71254343044336
oct220361455600
955040883780
1019390684032
118250598a05
123911a98800
131aa0399945
14d1d3d5b56
1578750ccdc
hex483c65b80

19390684032 has 96 divisors (see below), whose sum is σ = 55842501000. Its totient is φ = 6458489856.

The previous prime is 19390684021. The next prime is 19390684051. The reversal of 19390684032 is 23048609391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1640319 + ... + 1652097.

Almost surely, 219390684032 is an apocalyptic number.

19390684032 is a gapful number since it is divisible by the number (12) 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 19390684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27921250500).

19390684032 is an abundant number, since it is smaller than the sum of its proper divisors (36451816968).

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

19390684032 is a wasteful number, since it uses less digits than its factorization.

19390684032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13228 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 19390684032 in words is "nineteen billion, three hundred ninety million, six hundred eighty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1429 2858 4287 5716 8574 11432 11779 12861 17148 22864 23558 25722 34296 35337 45728 47116 51444 68592 70674 91456 94232 102888 106011 137184 141348 182912 188464 205776 212022 274368 282696 376928 411552 424044 548736 565392 753856 823104 848088 1130784 1507712 1646208 1696176 2261568 3392352 4523136 6784704 13569408 16832191 33664382 50496573 67328764 100993146 134657528 151489719 201986292 269315056 302979438 403972584 538630112 605958876 807945168 1077260224 1211917752 1615890336 2154520448 2423835504 3231780672 4847671008 6463561344 9695342016 19390684032