Search a number
-
+
20924210410308 = 22325329033777667
BaseRepresentation
bin1001100000111110011000…
…01000001111001101000100
32202002100001012101212021100
410300133030020033031010
510220310240331112213
6112300241034420100
74256503303626012
oct460371410171504
982070035355240
1020924210410308
1167379a9313497
12241b303891630
13b8a1b58299ca
14524a46bb18b2
15264447ab7773
hex1307cc20f344

20924210410308 has 72 divisors (see below), whose sum is σ = 53908289443008. Its totient is φ = 6840778920768.

The previous prime is 20924210410291. The next prime is 20924210410321. The reversal of 20924210410308 is 80301401242902.

20924210410308 is a `hidden beast` number, since 2 + 0 + 9 + 24 + 210 + 410 + 3 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3650091 + ... + 7427757.

It is an arithmetic number, because the mean of its divisors is an integer number (748726242264).

Almost surely, 220924210410308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20924210410308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26954144721504).

20924210410308 is an abundant number, since it is smaller than the sum of its proper divisors (32984079032700).

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

20924210410308 is a wasteful number, since it uses less digits than its factorization.

20924210410308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780633 (or 3780628 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20924210410308 in words is "twenty trillion, nine hundred twenty-four billion, two hundred ten million, four hundred ten thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2903 5806 8709 11612 17418 26127 34836 52254 104508 153859 307718 461577 615436 923154 1384731 1846308 2769462 3777667 5538924 7555334 11333001 15110668 22666002 33999003 45332004 67998006 135996012 200216351 400432702 600649053 800865404 1201298106 1801947159 2402596212 3603894318 7207788636 10966567301 21933134602 32899701903 43866269204 65799403806 98699105709 131598807612 197398211418 394796422836 581228066953 1162456133906 1743684200859 2324912267812 3487368401718 5231052602577 6974736803436 10462105205154 20924210410308