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19640826720 = 2532513639463
BaseRepresentation
bin10010010010101011…
…110011101101100000
31212200210200101010200
4102102223303231200
5310211022423340
613004535025200
71263501162324
oct222253635540
955623611120
1019640826720
1183698098a9
12398180b200
131b1015c278
14d4470b984
1579e46e330
hex492af3b60

19640826720 has 72 divisors (see below), whose sum is σ = 67024326096. Its totient is φ = 5237553408.

The previous prime is 19640826703. The next prime is 19640826727. The reversal of 19640826720 is 2762804691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19640826727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6818292 + ... + 6821171.

It is an arithmetic number, because the mean of its divisors is an integer number (930893418).

Almost surely, 219640826720 is an apocalyptic number.

19640826720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19640826720 is an abundant number, since it is smaller than the sum of its proper divisors (47383499376).

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

19640826720 is a wasteful number, since it uses less digits than its factorization.

19640826720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13639484 (or 13639473 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 19640826720 in words is "nineteen billion, six hundred forty million, eight hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 13639463 27278926 40918389 54557852 68197315 81836778 109115704 122755167 136394630 163673556 204591945 218231408 245510334 272789260 327347112 409183890 436462816 491020668 545578520 613775835 654694224 818367780 982041336 1091157040 1227551670 1309388448 1636735560 1964082672 2182314080 2455103340 3273471120 3928165344 4910206680 6546942240 9820413360 19640826720