Search a number
-
+
2663661840 = 243571585513
BaseRepresentation
bin1001111011000100…
…0100000100010000
320212122011001010020
42132301010010100
520423344134330
61120151303440
7123002515650
oct23661040420
96778131106
102663661840
111147627624
1262407ab80
13335b02888
141b3a94360
15108ca8210
hex9ec44110

2663661840 has 80 divisors (see below), whose sum is σ = 9436979328. Its totient is φ = 608836608.

The previous prime is 2663661829. The next prime is 2663661853. The reversal of 2663661840 is 481663662.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2663661792 and 2663661801.

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, 791077 + ... + 794436.

Almost surely, 22663661840 is an apocalyptic number.

2663661840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2663661840 is an abundant number, since it is smaller than the sum of its proper divisors (6773317488).

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

2663661840 is a wasteful number, since it uses less digits than its factorization.

2663661840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585536 (or 1585530 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2663661840 is about 51610.6756398325. The cubic root of 2663661840 is about 1386.2014953312.

The spelling of 2663661840 in words is "two billion, six hundred sixty-three million, six hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1585513 3171026 4756539 6342052 7927565 9513078 11098591 12684104 15855130 19026156 22197182 23782695 25368208 31710260 33295773 38052312 44394364 47565390 55492955 63420520 66591546 76104624 88788728 95130780 110985910 126841040 133183092 166478865 177577456 190261560 221971820 266366184 332957730 380523120 443943640 532732368 665915460 887887280 1331830920 2663661840