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2504664740 = 2251721922807
BaseRepresentation
bin1001010101001010…
…0010011010100100
320110112222011002202
42111102202122210
520112143232430
61052311354032
7116032204364
oct22522423244
96415864082
102504664740
1110758aa766
1259a982918
1330bba3756
1419a9069a4
15e9d4cd45
hex954a26a4

2504664740 has 72 divisors (see below), whose sum is σ = 5881727040. Its totient is φ = 893265408.

The previous prime is 2504664737. The next prime is 2504664793. The reversal of 2504664740 is 474664052.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2504664694 and 2504664703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98417 + ... + 121223.

Almost surely, 22504664740 is an apocalyptic number.

2504664740 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 2504664740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940863520).

2504664740 is an abundant number, since it is smaller than the sum of its proper divisors (3377062300).

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

2504664740 is a wasteful number, since it uses less digits than its factorization.

2504664740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22869 (or 22850 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The square root of 2504664740 is about 50046.6256604779. The cubic root of 2504664740 is about 1358.0524206460.

The spelling of 2504664740 in words is "two billion, five hundred four million, six hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 289 323 340 380 578 646 1156 1292 1445 1615 2890 3230 5491 5780 6460 10982 21964 22807 27455 45614 54910 91228 109820 114035 228070 387719 433333 456140 775438 866666 1550876 1733332 1938595 2166665 3877190 4333330 6591223 7366661 7754380 8666660 13182446 14733322 26364892 29466644 32956115 36833305 65912230 73666610 125233237 131824460 147333220 250466474 500932948 626166185 1252332370 2504664740