Search a number
-
+
19978955280 = 2432534779967
BaseRepresentation
bin10010100110110101…
…101010101000010000
31220120100221002022200
4102212311222220100
5311404103032110
613102254203200
71305045214014
oct224665525020
956510832280
1019978955280
118522665899
123a56ab3500
131b65219b3b
14d775a8544
157bdeb06c0
hex4a6d6aa10

19978955280 has 120 divisors (see below), whose sum is σ = 67290193152. Its totient is φ = 5312301312.

The previous prime is 19978955261. The next prime is 19978955323. The reversal of 19978955280 is 8255987991.

19978955280 is a `hidden beast` number, since 1 + 9 + 9 + 78 + 9 + 552 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209857 + ... + 289823.

Almost surely, 219978955280 is an apocalyptic number.

19978955280 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 19978955280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33645096576).

19978955280 is an abundant number, since it is smaller than the sum of its proper divisors (47311237872).

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

19978955280 is a wasteful number, since it uses less digits than its factorization.

19978955280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80333 (or 80324 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 19978955280 in words is "nineteen billion, nine hundred seventy-eight million, nine hundred fifty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 347 360 694 720 1041 1388 1735 2082 2776 3123 3470 4164 5205 5552 6246 6940 8328 10410 12492 13880 15615 16656 20820 24984 27760 31230 41640 49968 62460 79967 83280 124920 159934 239901 249840 319868 399835 479802 639736 719703 799670 959604 1199505 1279472 1439406 1599340 1919208 2399010 2878812 3198680 3598515 3838416 4798020 5757624 6397360 7197030 9596040 11515248 14394060 19192080 27748549 28788120 55497098 57576240 83245647 110994196 138742745 166491294 221988392 249736941 277485490 332982588 416228235 443976784 499473882 554970980 665965176 832456470 998947764 1109941960 1248684705 1331930352 1664912940 1997895528 2219883920 2497369410 3329825880 3995791056 4994738820 6659651760 9989477640 19978955280