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21952378500 = 22353131125763
BaseRepresentation
bin10100011100011101…
…101011011010000100
32002122220021101001120
4110130131223122010
5324424302103000
614030151353540
71405000065333
oct243435533204
962586241046
1021952378500
1193455aa978
1243079828b0
1320bb01a3a0
1410c3705d1a
158873736a0
hex51c76b684

21952378500 has 96 divisors (see below), whose sum is σ = 68842720128. Its totient is φ = 5403657600.

The previous prime is 21952378489. The next prime is 21952378523. The reversal of 21952378500 is 587325912.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 543382 + ... + 582381.

It is an arithmetic number, because the mean of its divisors is an integer number (717111668).

Almost surely, 221952378500 is an apocalyptic number.

21952378500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21952378500 is an abundant number, since it is smaller than the sum of its proper divisors (46890341628).

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

21952378500 is a wasteful number, since it uses less digits than its factorization.

21952378500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125798 (or 1125786 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 21952378500 in words is "twenty-one billion, nine hundred fifty-two million, three hundred seventy-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 500 650 750 780 975 1300 1500 1625 1950 3250 3900 4875 6500 9750 19500 1125763 2251526 3377289 4503052 5628815 6754578 11257630 13509156 14634919 16886445 22515260 28144075 29269838 33772890 43904757 56288150 58539676 67545780 73174595 84432225 87809514 112576300 140720375 146349190 168864450 175619028 219523785 281440750 292698380 337728900 365872975 422161125 439047570 562881500 731745950 844322250 878095140 1097618925 1463491900 1688644500 1829364875 2195237850 3658729750 4390475700 5488094625 7317459500 10976189250 21952378500