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21283709980 = 225131734713877
BaseRepresentation
bin10011110100100110…
…111010010000011100
32000221022001111021211
4103310212322100130
5322042112204410
613435543434204
71352300356411
oct236446722034
960838044254
1021283709980
119032110365
12415ba55964
13201262b040
14105c9a6108
158487de68a
hex4f49ba41c

21283709980 has 96 divisors (see below), whose sum is σ = 51115893696. Its totient is φ = 7374483456.

The previous prime is 21283709977. The next prime is 21283710013. The reversal of 21283709980 is 8990738212.

It is a congruent 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, 1526802 + ... + 1540678.

It is an arithmetic number, because the mean of its divisors is an integer number (532457226).

Almost surely, 221283709980 is an apocalyptic number.

21283709980 is a gapful number since it is divisible by the number (20) 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 21283709980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25557946848).

21283709980 is an abundant number, since it is smaller than the sum of its proper divisors (29832183716).

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

21283709980 is a wasteful number, since it uses less digits than its factorization.

21283709980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14263 (or 14261 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 21283709980 in words is "twenty-one billion, two hundred eighty-three million, seven hundred nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 347 442 694 884 1105 1388 1735 2210 3470 4420 4511 5899 6940 9022 11798 13877 18044 22555 23596 27754 29495 45110 55508 58990 69385 76687 90220 117980 138770 153374 180401 235909 277540 306748 360802 383435 471818 721604 766870 902005 943636 1179545 1533740 1804010 2359090 3066817 3608020 4718180 4815319 6133634 9630638 12267268 15334085 19261276 24076595 30668170 48153190 61336340 62599147 81860423 96306380 125198294 163720846 250396588 312995735 327441692 409302115 625991470 818604230 1064185499 1251982940 1637208460 2128370998 4256741996 5320927495 10641854990 21283709980