Search a number
-
+
2421665856 = 26335923753
BaseRepresentation
bin1001000001010111…
…1011000001000000
320020202210101001000
42100111323001000
514424421301411
61040144412000
7114003551211
oct22025730100
96222711030
102421665856
111032a70445
12577017000
132c793339c
1418d89d408
15e2905956
hex9057b040

2421665856 has 112 divisors (see below), whose sum is σ = 7240219200. Its totient is φ = 793506816.

The previous prime is 2421665849. The next prime is 2421665863. The reversal of 2421665856 is 6585661242.

2421665856 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 66 + 585 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2421665849) and next prime (2421665863).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90076 + ... + 113828.

Almost surely, 22421665856 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 2421665856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620109600).

2421665856 is an abundant number, since it is smaller than the sum of its proper divisors (4818553344).

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

2421665856 is a wasteful number, since it uses less digits than its factorization.

2421665856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23833 (or 23817 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 2421665856 is about 49210.4242615322. The cubic root of 2421665856 is about 1342.8826810811.

The spelling of 2421665856 in words is "two billion, four hundred twenty-one million, six hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 236 288 354 432 472 531 576 708 864 944 1062 1416 1593 1728 1888 2124 2832 3186 3776 4248 5664 6372 8496 11328 12744 16992 23753 25488 33984 47506 50976 71259 95012 101952 142518 190024 213777 285036 380048 427554 570072 641331 760096 855108 1140144 1282662 1401427 1520192 1710216 2280288 2565324 2802854 3420432 4204281 4560576 5130648 5605708 6840864 8408562 10261296 11211416 12612843 13681728 16817124 20522592 22422832 25225686 33634248 37838529 41045184 44845664 50451372 67268496 75677058 89691328 100902744 134536992 151354116 201805488 269073984 302708232 403610976 605416464 807221952 1210832928 2421665856