Search a number
-
+
19379681280 = 211325210283
BaseRepresentation
bin10010000011000111…
…100111100000000000
31212000121021210221100
4102003013213200000
5304142144300110
612523005454400
71254150400341
oct220307474000
955017253840
1019379681280
118245363423
12390a271400
131a9b01683b
14d1bb700c8
15786587bc0
hex4831e7800

19379681280 has 144 divisors (see below), whose sum is σ = 67166812440. Its totient is φ = 5167890432.

The previous prime is 19379681261. The next prime is 19379681303. The reversal of 19379681280 is 8218697391.

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

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, 12982 + ... + 197301.

Almost surely, 219379681280 is an apocalyptic number.

19379681280 is a gapful number since it is divisible by the number (10) 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 19379681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33583406220).

19379681280 is an abundant number, since it is smaller than the sum of its proper divisors (47787131160).

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

19379681280 is a wasteful number, since it uses less digits than its factorization.

19379681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210316 (or 210293 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 19379681280 in words is "nineteen billion, three hundred seventy-nine million, six hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 92160 210283 420566 630849 841132 1051415 1261698 1682264 1892547 2102830 2523396 3154245 3364528 3785094 4205660 5046792 6308490 6729056 7570188 8411320 9462735 10093584 12616980 13458112 15140376 16822640 18925470 20187168 25233960 26916224 30280752 33645280 37850940 40374336 50467920 53832448 60561504 67290560 75701880 80748672 100935840 107664896 121123008 134581120 151403760 161497344 201871680 215329792 242246016 269162240 302807520 322994688 403743360 430659584 484492032 538324480 605615040 645989376 807486720 968984064 1076648960 1211230080 1291978752 1614973440 1937968128 2153297920 2422460160 3229946880 3875936256 4844920320 6459893760 9689840640 19379681280