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19943821440 = 273253462469
BaseRepresentation
bin10010100100101111…
…101001000010000000
31220110220211002202100
4102210233221002000
5311321104241230
613055001150400
71304140454004
oct224457510200
956426732670
1019943821440
118504849264
123a4718b400
131b5ab6819a
14d72a60704
157bad70660
hex4a4be9080

19943821440 has 96 divisors (see below), whose sum is σ = 68868528300. Its totient is φ = 5318350848.

The previous prime is 19943821411. The next prime is 19943821453. The reversal of 19943821440 is 4412834991.

19943821440 is a `hidden beast` number, since 1 + 99 + 43 + 82 + 1 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19557463104 + 386358336 = 139848^2 + 19656^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1725475 + ... + 1736994.

Almost surely, 219943821440 is an apocalyptic number.

19943821440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19943821440 is an abundant number, since it is smaller than the sum of its proper divisors (48924706860).

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

19943821440 is a wasteful number, since it uses less digits than its factorization.

19943821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462494 (or 3462479 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 19943821440 in words is "nineteen billion, nine hundred forty-three million, eight hundred twenty-one thousand, four hundred forty".

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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 3462469 6924938 10387407 13849876 17312345 20774814 27699752 31162221 34624690 41549628 51937035 55399504 62324442 69249380 83099256 103874070 110799008 124648884 138498760 155811105 166198512 207748140 221598016 249297768 276997520 311622210 332397024 415496280 443196032 498595536 553995040 623244420 664794048 830992560 997191072 1107990080 1246488840 1329588096 1661985120 1994382144 2215980160 2492977680 3323970240 3988764288 4985955360 6647940480 9971910720 19943821440