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20344457980 = 225721112591499
BaseRepresentation
bin10010111100100111…
…111100101011111100
31221111211200112202201
4102330213330223330
5313131140123410
613202432201244
71320104016400
oct227447745374
957454615681
1020344457980
11869aa09440
123b39399224
131bc2b70422
14dadd4d100
157e110c83a
hex4bc9fcafc

20344457980 has 144 divisors (see below), whose sum is σ = 54295920000. Its totient is φ = 6331866240.

The previous prime is 20344457953. The next prime is 20344457981. The reversal of 20344457980 is 8975444302.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20344457980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344457981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13571271 + ... + 13572769.

It is an arithmetic number, because the mean of its divisors is an integer number (377055000).

Almost surely, 220344457980 is an apocalyptic number.

20344457980 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 20344457980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27147960000).

20344457980 is an abundant number, since it is smaller than the sum of its proper divisors (33951462020).

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

20344457980 is a wasteful number, since it uses less digits than its factorization.

20344457980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 20344457980 in words is "twenty billion, three hundred forty-four million, four hundred fifty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1259 1499 1540 2156 2518 2695 2998 5036 5390 5996 6295 7495 8813 10493 10780 12590 13849 14990 16489 17626 20986 25180 27698 29980 32978 35252 41972 44065 52465 55396 61691 65956 69245 73451 82445 88130 96943 104930 115423 123382 138490 146902 164890 176260 193886 209860 230846 246764 276980 293804 308455 329780 367255 387772 461692 484715 577115 616910 678601 734510 807961 969430 1154230 1233820 1357202 1469020 1615922 1887241 1938860 2308460 2714404 3231844 3393005 3774482 4039805 6786010 7548964 8079610 9436205 13210687 13572020 16159220 18872410 20759651 26421374 37744820 41519302 52842748 66053435 83038604 92474809 103798255 132106870 145317557 184949618 207596510 264213740 290635114 369899236 415193020 462374045 581270228 726587785 924748090 1017222899 1453175570 1849496180 2034445798 2906351140 4068891596 5086114495 10172228990 20344457980