Search a number
-
+
20646846287490 = 2352948786356467
BaseRepresentation
bin1001011000111001101111…
…11100000100111010000010
32201002211010012212112111210
410230130313330010322002
510201234220122144430
6111525010310550550
74230454045525353
oct454346774047202
981084105775453
1020646846287490
116640307515805
1223955b7068456
13b69cb24caa87
14515454055d2a
1525c1127902b0
hex12c737f04e82

20646846287490 has 128 divisors (see below), whose sum is σ = 51426826076160. Its totient is φ = 5298812805888.

The previous prime is 20646846287489. The next prime is 20646846287533. The reversal of 20646846287490 is 9478264864602.

It is a super-3 number, since 3×206468462874903 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365616237 + ... + 365672703.

It is an arithmetic number, because the mean of its divisors is an integer number (401772078720).

Almost surely, 220646846287490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20646846287490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25713413038080).

20646846287490 is an abundant number, since it is smaller than the sum of its proper divisors (30779979788670).

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

20646846287490 is a wasteful number, since it uses less digits than its factorization.

20646846287490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57856.

The product of its (nonzero) digits is 222953472, while the sum is 66.

The spelling of 20646846287490 in words is "twenty trillion, six hundred forty-six billion, eight hundred forty-six million, two hundred eighty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 487 863 870 974 1461 1726 2435 2589 2922 4315 4870 5178 7305 8630 12945 14123 14610 25027 25890 28246 42369 50054 56467 70615 75081 84738 112934 125135 141230 150162 169401 211845 250270 282335 338802 375405 420281 423690 564670 750810 840562 847005 1260843 1637543 1694010 2101405 2521686 3275086 4202810 4912629 6304215 8187715 9825258 12188149 12608430 16375430 24376298 24563145 27499429 36564447 48731021 49126290 54998858 60940745 73128894 82498287 97462042 121881490 137497145 146193063 164996574 182822235 243655105 274994290 292386126 365644470 412491435 487310210 730965315 797483441 824982870 1413199609 1461930630 1594966882 2392450323 2826399218 3987417205 4239598827 4784900646 7065998045 7974834410 8479197654 11962251615 14131996090 21197994135 23732007227 23924503230 42395988270 47464014454 71196021681 118660036135 142392043362 237320072270 355980108405 688228209583 711960216810 1376456419166 2064684628749 3441141047915 4129369257498 6882282095830 10323423143745 20646846287490