Search a number
-
+
19683299440 = 2457612332473
BaseRepresentation
bin10010010101001101…
…110101000001110000
31212210202121012202101
4102111031311001300
5310302411040230
613013053230144
71264525166440
oct222515650160
955722535671
1019683299440
118390789222
123993a92354
131b18bb045c
14d4a206120
157a305daca
hex495375070

19683299440 has 160 divisors (see below), whose sum is σ = 53408474496. Its totient is φ = 6606766080.

The previous prime is 19683299387. The next prime is 19683299443. The reversal of 19683299440 is 4499238691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19683299443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7958044 + ... + 7960516.

Almost surely, 219683299440 is an apocalyptic number.

19683299440 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 19683299440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26704237248).

19683299440 is an abundant number, since it is smaller than the sum of its proper divisors (33725175056).

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

19683299440 is a wasteful number, since it uses less digits than its factorization.

19683299440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 19683299440 in words is "nineteen billion, six hundred eighty-three million, two hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 233 244 280 305 427 466 488 560 610 854 932 976 1165 1220 1631 1708 1864 2135 2330 2440 2473 3262 3416 3728 4270 4660 4880 4946 6524 6832 8155 8540 9320 9892 12365 13048 14213 16310 17080 17311 18640 19784 24730 26096 28426 32620 34160 34622 39568 49460 56852 65240 69244 71065 86555 98920 99491 113704 130480 138488 142130 150853 173110 197840 198982 227408 276976 284260 301706 346220 397964 497455 568520 576209 603412 692440 754265 795928 994910 1055971 1137040 1152418 1206824 1384880 1508530 1591856 1989820 2111942 2304836 2413648 2881045 3017060 3979640 4033463 4223884 4609672 5279855 5762090 6034120 7959280 8066926 8447768 9219344 10559710 11524180 12068240 16133852 16895536 20167315 21119420 23048360 32267704 35148749 40334630 42238840 46096720 64535408 70297498 80669260 84477680 140594996 161338520 175743745 246041243 281189992 322677040 351487490 492082486 562379984 702974980 984164972 1230206215 1405949960 1968329944 2460412430 2811899920 3936659888 4920824860 9841649720 19683299440